Updated on 2025/03/27

写真a

 
Morioka Hisashi
 
Organization
Graduate School of Science and Engineering (Engineering) Major of Science and Engineering Applied Information Engineering Associate Professor
Title
Associate Professor
Contact information
メールアドレス
Profile

My research focuses on

  • spectral theory
  • scattering theory
  • inverse scattering problems

for Schrödinger operators and quantum walks.
I am also interested in applications of these topics and related areas. 

Dear friends (Jan. 23, 2024) : My mail address morioka [at] cs.ehime-u.ac.jp is going to be transfered to morioka.hisashi.ya [at] ehime-u.ac.jp in the long run. Both of the addresses are available for the time being.

External link

Degree

  • Ph.D in Science ( 2013.3   University of Tsukuba )

  • Master in Education ( 2010.3   University of Tsukuba )

Research Interests

  • graph theory

  • discrete Laplacian

  • inverse problem

  • discrete Schrödinger operator

  • spectral theory

  • scattering matrix

  • Schrödinger operator

  • quantum walk

  • scattering theory

  • Laplacian

Research Areas

  • Natural Science / Basic analysis  / Spectral theory

  • Natural Science / Applied mathematics and statistics  / Quantum walk

  • Natural Science / Applied mathematics and statistics  / Inverse problem

  • Natural Science / Basic analysis  / Scattering theory

Education

  • University of Tsukuba   Graduate school of pure and applied science   Mathematics course

    2010.4 - 2013.3

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    Country: Japan

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  • University of Tsukuba   Master's program in Education   Mathematics Education course

    2008.4 - 2010.3

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  • University of Tsukuba   First Cluster of Colleges   Natural Sciences

    2004.4 - 2008.3

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    Country: Japan

    Notes: Mathematics

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Research History

  • Ehime University   Graduate School of Science and Engineering, Department of Computer Science   Associate Professor

    2023.4

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    Country:Japan

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  • Ehime University   Graduate School of Science and Engineering Electrical and Electronic Engineering and Computer Science   Associate Professor

    2022.4 - 2023.3

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    Country:Japan

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  • Human Resource Association of Mathematics   Part-time Lecturer

    2021.7 - 2021.12

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    Country:Japan

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  • Ehime University   Center for Data Science

    2020.4

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  • Ehime University   Graduate School of Science and Engineering (Electrical and Electronic Engineering and Computer Science)   Senior Assistant Professor

    2019.4 - 2022.3

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    Country:Japan

    Notes:Tenure Track System

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  • The University of Shiga Prefecture   School of engineering   Part-time Lecturer

    2017.4 - 2017.8

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  • Doshisha University   Faculty of Science and Engineering, Department of Energy and Mechanical Engineering   Assistant Professor

    2016.10 - 2019.3

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  • Shibaura Institute of Technology   Center for Promotion of Educational Innovation   Lecturer

    2014.9 - 2016.9

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  • Gakushuin University   Department of Mathematics   Part-time Lecturer

    2014.4 - 2014.8

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  • The University of Electro-Communications   Faculty of Informatics and Engineering   Part-time Lecturer

    2013.10 - 2014.8

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  • Shibaura Institute of Technology   College of Engineering   Part-time Lecturer

    2013.4 - 2014.8

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  • Faculty of Science, Gakushuin University   Research Fellow

    2013.4 - 2014.3

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  • Division of Mathematics, University of Tsukuba   Reseach Fellow

    2013.4 - 2014.3

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  • JSPS Research Fellow   DC2

    2011.4 - 2013.3

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Papers

  • Resonance expansion for quantum walks and its applications to the long-time behavior Reviewed International journal

    Kenta Higuchi, Hisashi Morioka, Etsuo Segawa

    Journal of Spectral Theory   14 ( 1 )   207 - 244   2024.4

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    Language:English   Publishing type:Research paper (scientific journal)  

    In this paper, resonances are introduced to a class of quantum walks on $\mathbb{Z}$. Resonances are defined as poles of the meromorphically extended resolvent of the unitary time evolution operator. In particular, they appear inside the unit circle. Some analogous properties to those of quantum resonances for Schrödinger operators are shown. Especially, the resonance expansion, an analogue of the eigenfunction expansion, indicates the long-time behavior of quantum walks. The decaying rate, the asymptotic probability distribution, and the weak limit of the probability density are described by resonances and associated (generalized) resonant states. The generic simplicity of resonances is also investigated.

    DOI: 10.4171/JST/494

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  • Complex translation methods and its application to resonances for quantum walks Reviewed International journal

    Kenta Higuchi, Hisashi Morioka

    Reviews in Mathematical Physics   36   1 - 28   2024.4

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    In this paper, some properties of resonances for multi-dimensional quantum walks are studied. Resonances for quantum walks are defined as eigenvalues of complex translated time evolution operators in the pseudo momentum space. For some typical cases, we show some results of existence or nonexistence of resonances. One is a perturbation of an elastic scattering of a quantum walk which is an analogue of classical mechanics. Another one is a shape resonance model which is a perturbation of a quantum walk with a non-penetrable barrier.

    DOI: 10.1142/S0129055X24500181

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  • Scattering theory for waves and eigenvalue problems based on inverse scattering Invited Reviewed

    Hisashi Morioka

    Bulletin of the Japan Society for Industrial and Applied Mathematics   34 ( 1 )   5 - 15   2024.3

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    Authorship:Corresponding author   Language:Japanese   Publishing type:Research paper (scientific journal)   Publisher:Japan Society for Industrial and Applied Mathematics  

    In this study, we review some topics on spectral and scattering theory for Schrödinger operators or time-independent wave equations and inverse scattering problems. First, we consider an example of an inverse problem for a one-dimensional wave equation with a piecewise constant coefficient. Nonscattering energy naturally appears in the process of reconstruction of the coefficient. A similar problem is known in multidimensional cases. This problem can be reduced to an interior transmission eigenvalue problem. Furthermore, herein, we refer to the shape resonance model for the Schrödinger equation as a related topic.

    DOI: 10.11540/bjsiam.34.1_5

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  • Comfortable place for quantum walkers on finite path Reviewed International journal

    Yoshihiro Anahara, Norio Konno, Hisashi Morioka, Etsuo Segawa

    Quantum Information Processing   21   1 - 15   2022.7

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    Language:English   Publishing type:Research paper (scientific journal)  

    We consider the stationary state of a quantum walk on the finite path, where the sink and source are set at the left and right boundaries. The quantum coin is uniformly placed at every vertex of the path graph. At every time step, a new quantum walker penetrates into the internal from the left boundary and also some existing quantum walkers in the internal goes out to the sinks located in the left and right boundaries. The square modulus of the stationary state at each vertex is regarded as the comfortability for a quantum walker to this vertex in this paper. We show the weak convergence theorem for the scaled limit distribution of the comfortability in the limit of the length of the path.

    DOI: 10.1007/s11128-022-03588-5

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  • Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks Reviewed

    Takashi Komatsu, Norio Konno, Hisashi Morioka, Etsuo Segawa

    Annales Henri Poincaré   23   1693 - 1724   2021.11

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    We construct a distorted Fourier transformation associated with the multi-dimensional quantum walk. In order to avoid the complication of notations, almost all of our arguments are restricted to two dimensional quantum walks (2DQWs) without loss of generality. The distorted Fourier transformation characterizes generalized eigenfunctions of the time evolution operator of the QW. The 2DQW which will be considered in this paper has an anisotropy due to the definition of the shift operator for the free QW. Then we define an anisotropic Banach space as a modified Agmon-H\"{o}rmander's $\mathcal{B}^*$ space and we derive the asymptotic behavior at infinity of generalized eigenfunctions in these spaces. The scattering matrix appears in the asymptotic expansion of generalized eigenfunctions.

    DOI: 10.1007/s00023-021-01131-3

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  • A discontinuity of the energy of quantum walk in impurities Reviewed International journal

    Kenta Higuchi, Takashi Komatsu, Norio Konno, Hisashi Morioka, Etsuo Segawa

    Symmetry   13 ( 7 )   1 - 15   2021.6

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    Language:English   Publishing type:Research paper (scientific journal)  

    We consider the discrete-time quantum walk whose local dynamics is denoted by $C$ at the perturbed region $\{ 0,1,…,M−1 \}$ and free at the other positions. We obtain the stationary state with a bounded initial state. The initial state is set so that the perturbed region receives the inflow $\omega^n$ at time $n$ $(|\omega |=1)$. From this expression, we compute the scattering on the surface of $−1$ and $M$ and also compute the quantity how quantum walker accumulates in the perturbed region; namely the energy of the quantum walk, in the long time limit. We find a discontinuity of the energy with respect to the frequency of the inflow.

    DOI: 10.3390/sym13071134

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  • Generalized eigenfunctions for quantum walks via path counting approach Reviewed International journal

    Takashi Komatsu, Norio Konno, Hisashi Morioka, Etsuo Segawa

    Reviews in Mathematical Physics   33   1 - 24   2021.3

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    We consider the time-independent scattering theory for time evolution operators of one-dimensional two-state quantum walks. The scattering matrix associated with the position-dependent quantum walk naturally appears in the asymptotic behavior at spatial infinity of generalized eigenfunctions. The asymptotic behavior of generalized eigenfunctions is a consequence of an explicit expression of the Green function associated with the free quantum walk. When the position-dependent quantum walk is a finite rank perturbation of the free quantum walk, we derive a kind of combinatorial constructions of the scattering matrix by counting paths of quantum walkers. We also mention some remarks on the tunneling effect.

    DOI: 10.1142/S0129055X21500197

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  • Non-scattering energies for acoustic-type equations on manifolds with a single flat end Reviewed

    Hisashi Morioka, Naotaka Shoji

    Journal of Mathematical Physics   61 ( 1 )   1 - 36   2020.1

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    In this paper, we consider the scattering theory for acoustic-type equations on non-compact manifolds with a single flat end. Our main purpose is to show an existence result of non-scattering energies. Precisely, we show a Weyl-type lower bound for the number of non-scattering energies. Usually a scattered wave occurs for every incident wave by the inhomogeneity of the media. However, there may exist suitable wavenumbers and patterns of incident waves such that the corresponding scattered wave vanishes. We call (the square of) this wavenumber a non-scattering energy in this paper. The problem of non-scattering energies can be reduced to a well-known interior transmission eigenvalues problem.

    DOI: 10.1063/1.5111890

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  • Detection of edge defects by embedded eigenvalues of quantum walks Reviewed International journal

    Hisashi Morioka, Etsuo Segawa

    Quantum Information Processing   18 ( 9 )   1 - 18   2019.8

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    We consider a position-dependent quantum walk on ${\bf Z}$. In particular, we derive a detection method for edge defects by embedded eigenvalues of its time evolution operator. In the present paper, an edge defect is a set $\{ y - 1,y \} $ for $y\in {\bf Z}$, in which the coin operator is an anti-diagonal matrix. In fact, under some suitable assumptions, the existence of a finite number of edge defects is equivalent to the existence of embedded eigenvalues of the time evolution operator. In view of applications, by checking the spectrum, we can detect the existence of disconnecting edge (in the sense of edge defects above) on the line without directly watching it.

    DOI: 10.1007/s11128-019-2398-z

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  • Generalized eigenfunctions and scattering matrices for position-dependent quantum walks Reviewed International journal

    Hisashi Morioka

    Reviews in Mathematical Physics   31 ( 7 )   1 - 37   2019.2

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    We study the spectral analysis and the scattering theory for time evolution operators of position-dependent quantum walks. Our main purpose of this paper is construction of generalized eigenfunctions of the time evolution operator. Roughly speaking, the generalized eigenfunctions are not square summable but belong to $\ell^{\infty}$-space on ${\bf Z}$. Moreover, we derive a characterization of the set of generalized eigenfunctions in view of the time-harmonic scattering theory. Thus we show that the S-matrix associated with the quantum walk appears in the singularity expansion of generalized eigenfunctions.

    DOI: 10.1142/S0129055X19500193

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  • Inverse scattering for Schrödinger operators on perturbed lattices Reviewed International journal

    Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

    Annales Henri Poincaré   19 ( 11 )   3397 - 3455   2018.11

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    Language:English   Publishing type:Research paper (scientific journal)  

    © 2018, Springer Nature Switzerland AG. We study the inverse scattering for Schrödinger operators on locally perturbed periodic lattices. We show that the associated scattering matrix is equivalent to the Dirichlet-to-Neumann map for a boundary value problem on a finite part of the graph, and reconstruct scalar potentials as well as the graph structure from the knowledge of the S-matrix. In particular, we give a procedure for probing defects in hexagonal lattices (graphene).

    DOI: 10.1007/s00023-018-0721-3

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  • Spectral properties of Schrödinger operators on perturbed lattices Reviewed International journal

    Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

    Annales Henri Poincaré   17 ( 8 )   2103 - 2171   2016.8

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    We study the spectral properties of Schr\"{o}dinger operators on perturbed lattices. We shall prove the non-existence or the discreteness of embedded eigenvalues, the limiting absorption principle for the resolvent, construct a spectral representation, and define the S-matrix. Our theory covers the square, triangular, diamond, Kagome lattices, as well as the ladder, the graphite and the subdivision of square lattice.

    DOI: 10.1007/s00023-015-0430-0

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  • Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice Reviewed International journal

    Hiroshi Isozaki, Hisashi Morioka

    Annales de l'Institut Fourier   65 ( 3 )   1153 - 1200   2015.1

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    Language:English   Publishing type:Research paper (scientific journal)  

    © Association des Annales de l'institut Fourier, 2015. We study an inverse scattering problem for the discrete Schrödinger operator on the square lattice ℤ, d ≥ 2, with compactly supported potential. We show that the potential is uniquely reconstructed from a scattering matrix for a fixed energy.

    DOI: 10.5802/aif.2954

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  • A Rellich type theorem for discrete Schrödinger operators Reviewed International journal

    Hiroshi Isozaki, Hisashi Morioka

    Inverse Problems and Imaging   8 ( 2 )   475 - 489   2014.5

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    An analogue of Rellich's theorem is proved for discrete Laplacian on square lattice, and applied to show unique continuation property on certain domains as well as non-existence of embedded eigenvalues for discrete Schr{\"o}dinger operators.

    DOI: 10.3934/ipi.2014.8.475

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  • Inverse boundary value problems for discrete Schrödinger operators on the multi-dimensional square lattice Reviewed International journal

    Hisashi Morioka

    Inverse Problems and Imaging   5 ( 3 )   715 - 730   2011.8

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    Authorship:Corresponding author   Language:English   Publishing type:Research paper (scientific journal)  

    We consider an inverse boundary value problem for a discrete Schrödinger operator −Δ+q ˆ on a bounded domain in the square lattice. We define an analogue of the Dirichlet-to-Neumann map, and give a reconstruction procedure of the potential q ˆ from the D-to-N map for all energies.

    DOI: 10.3934/ipi.2011.5.715

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Books

MISC

  • A remark on the absence of eigenvalues in continuous spectra for discrete Schrödinger operators on periodic lattices

    Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

    preprint   1 - 17   2024.11

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    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

    We prove a Rellich-Vekua type theorem for Schrödinger operators with exponentially decreasing potentials on a class of lattices containing square, triangular, hexagonal lattices and their ladders. We also discuss the unique continuation theorem and the non-existence of eigenvalues embedded in the continuous spectrum.

    DOI: 10.48550/arXiv.2411.03577

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  • Inverse problems for quantum graph associated with square and hexagonal lattices International coauthorship

    Kazunori Ando, Emilia Blåsten, Pavel Exner, Hiroshi Isozaki, Evegeny Korotyaev, Matti Lassas, Jinpeng Lu, Hisashi Morioka

    preprint   1 - 21   2024.9

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    We solve inverse problems from the D-N map for the quantum graph on a finite domain in a square lattice and that on a hexagonal lattice, as well as inverse scattering problems from the S-matrix for a locally perturbed square lattice and a hexagonal lattice.

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  • Weyl-type lower bound for non-scattering energies for acoustic-type equations Invited

    Hisashi Morioka, Naotaka Shoji

    RIMS Kokyuroku   2195   64 - 80   2021.8

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    Authorship:Corresponding author   Language:English   Publishing type:Article, review, commentary, editorial, etc. (bulletin of university, research institution)   Publisher:The Research Institute for Mathematical Sciences  

    RIMS Workshop ``Spectral and Scattering Theory and Related Topics" December 2nd-4th, 2019.

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  • Inverse scattering on the quantum graph for graphene International coauthorship

    Kazunori Ando, Hiroshi Isozaki, Evgeny Korotyaev, Hisashi Morioka

    preprint   1 - 23   2021.2

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    Language:English   Publishing type:Internal/External technical report, pre-print, etc.  

    We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported and symmetric, we show that the S-matrix for all energies in any given open set in the continuous spectrum determines the potentials.

    Many parts of this paper, especially the part dealing with the the forward problem, can be generalized to more general lattices, which can be seen in arXiv:1911.05233

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  • Inverse scattering on the quantum graph -Edge model for graphene International coauthorship

    Kazunori Ando, Hiroshi Isozaki, Evgeny Korotyaev, Hisashi Morioka

    preprint   1 - 52   2019.11

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    This manuscript is the full version of https://arxiv.org/abs/2102.05217 : We consider the inverse scattering on the quantum graph associated with the hexagonal lattice. Assuming that the potentials on the edges are compactly supported, we show that the S-matrix for all energies in any open set in the continuous spectrum determines the potentials.

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  • Interior transmission eigenvalue problems on compact manifolds with boundary conductivity parameters

    Hisashi Morioka, Naotaka Shoji

    unpublished work   1 - 35   2018.11

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    We have decided to remain this preprint to be unpublished. March 31, 2019.

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  • Reconstruction of the conductivity from the Dirichlet-to-Neumann map on circular resistor networks

    Hisashi MORIOKA, Rei SHIOZAKI, Hideki TAKUWA

    The Harris Science Review of Doshisha University   59 ( 2 )   69 - 74   2018.7

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (bulletin of university, research institution)  

    The theory of inverse boundary value problems has been used in fields of engineering and physics such as non-destructive testing, medical imaging. <br />
    Calder\&#039;{o}n&#039;s inverse problem for an elliptic partial differential equation appears in electrical impedance tomography (EIT).<br />
    EIT is one of techniques for medical imaging.<br />
    One can infer inside of human body by the surface electrode measurements. <br />
    Mathematically, this technique corresponds to the reconstruction of the electrical conductivity from boundary measurements.<br />
    One of theoretical models of boundary measurements is the Dirichlet-to-Neumann map.<br />
    In the present paper, we consider a discrete analogue of Calder\&#039;{o}n&#039;s inverse problem.<br />
    Namely, we derive a reconstruction procedure of conductivity on circular resistor networks from the Dirichlet-to-Neumann map.<br />
    A numerical example of perturbation of the Dirichlet-to-Neumann map is also given in this paper.

    DOI: 10.14988/pa.2018.0000000166

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  • A control method of the plate equation by power series of Gevrey class

    Shouta MORI, Hisashi MORIOKA, Hideki TAKUWA

    The Harris science review of Doshisha University   58 ( 4 )   60 - 67   2018.1

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    Language:Japanese   Publishing type:Rapid communication, short report, research note, etc. (bulletin of university, research institution)  

    In this paper, we study an approximate motion planning on the one dimensional plate equation by boundary control using Gevrey class functions.

    DOI: 10.14988/pa.2017.0000016913

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  • Interior transmission eigenvalue problems on manifolds Invited

    Hisashi MORIOKA, Naotaka SHOJI

    RIMS Workshop ``Spectral and scattering theory and related topics"   2045   38 - 60   2017.10

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    Language:Japanese   Publishing type:Research paper, summary (international conference)  

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  • Spectral properties of Schrodinger operators on perturbed lattices Invited

    Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

    RIMS Workshop "Spectral and Scattering Theory and Related Topics"   1975   1 - 14   2015

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    Authorship:Corresponding author   Language:Japanese   Publishing type:Research paper, summary (international conference)  

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  • A Rellich type theorem for discrete Schrödinger operators and its applications Invited

    Hiroshi Isozaki, Hisashi Morioka

    RIMS Workshop "Spectral and Scattering Theory and Related Topics"   1891   37 - 48   2014.4

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    Language:Japanese   Publishing type:Research paper, summary (international conference)  

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Presentations

  • Scattering theory for elastic wave equations in cylindrical domains with thin bond layers Invited International conference

    Hisashi Morioka

    Inverse Problem Seminar from Theory to Applications -Finland-Japan Seminar for Inverse Problem-  2025.1  Josai University

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    Event date: 2025.1

    Language:English   Presentation type:Oral presentation (general)  

    Venue:Josai University   Country:Japan  

    We consider the scattering for the elastic wave equation in a cylindrical stratified media via incident waves vertical to the interfaces. Then the problem can be reduce to one-dimensional wave equations. This study is inspired by a non-destructive testing via ultrasonic waves for medium with some thin bond layers. We also consider an inverse problem in view of the bond correction method and the pressure dependence of this method.

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  • 障害物がある場合の波動方程式の数値計算とその応用

    Yuka Sugano, Kazunoro Ando, Hisashi Morioka

    日本応用数理学会環瀬戸内応用数理研究部会  2024.12  日本応用数理学会環瀬戸内応用数理研究部会

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    Event date: 2024.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Sanyo-Onoda City University   Country:Japan  

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  • 量子ウォークの共鳴極を用いた共鳴トンネル効果および快適性の解析

    Ryuta Ishikawa, Kazunori Ando, Hisashi Morioka

    日本応用数理学会環瀬戸内応用数理研究部会  2024.12  日本応用数理学会環瀬戸内応用数理研究部会

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    Event date: 2024.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Sanyo-Onoda City University   Country:Japan  

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  • 波動方程式の逆散乱による超音波物質同定問題の基礎研究 Invited

    森岡 悠, Steeve Gréaux

    日本応用数理学会2024年度年会, 正会員OS「逆問題および非適切問題の数理解析とその応用」  2024.9  The Japan Society for Industrial and Applied Mathematics

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    Event date: 2024.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kyoto University   Country:Japan  

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  • A study on bond correction methods via inverse scattering for 1D elastic wave equations Invited International conference

    Hisashi Morioka

    Finland-Japan Workshop in Industrial and Applied Mathematics  2024.8 

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    Event date: 2024.8

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:University of Helsinki   Country:Finland  

    Joint work with Steeve Gréaux (Ehime University, GRC).

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  • 波動方程式の逆散乱による超音波物質同定問題の基礎研究 Invited

    Hisashi Morioka

    南大阪応用数学セミナー  2024.6 

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    Event date: 2024.6

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Osaka Metropolitan University   Country:Japan  

    鉱物や岩石の物質特性を超音波による非破壊検査で決定する実験においては, パルス状の入射波に対し, 反射波を計測し,標本長と伝播時間の関係から標本固有の波速度を決定する. この際, 実験系のスケールでは, 標本を実験装置に固定するための接合材層(bond)による影響を無視できない. この影響を補正するため, 従来 bond correction method と呼ばれる方法が用いられているが, この定式化には数学的に疑問の余地があり, また実験的にも今日に至るまで補正手段の検討が続けられている.最近, 数物協働で波動方程式による解析に基づいてこの補正法の再検討を始めており, 本講演では現状についてご報告したい.

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  • 1次元量子ウォークの共鳴展開と長時間挙動への応用

    Kenta Higuchi, Hisashi Morioka, Etsuo Segawa

    日本応用数理学会環瀬戸内応用数理研究部会  2023.12 

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    Event date: 2023.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Okayama University of Science   Country:Japan  

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  • Inverse scattering for wave equations on piecewise homogeneous medium via impulse responses International coauthorship

    Steeve Gréaux, Hisashi Morioka

    日本応用数理学会環瀬戸内応用数理研究部会  2023.12 

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    Event date: 2023.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Okayama University of Science   Country:Japan  

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  • 量子ウォークモデルを用いたポテンシャル障壁による量子トンネル効果

    Kazunori Ando, Kazuma Fujioka, Hisashi Morioka

    日本応用数理学会環瀬戸内応用数理研究部会  2023.12 

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    Event date: 2023.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Okayama University of Science   Country:Japan  

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  • A shape resonance model for quantum walks Invited International conference

    Hisashi Morioka

    10th International Workshop of Quantum Simulation and Quantum Walks  2023.11 

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    Event date: 2023.11

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Tsukuba International Congress Center   Country:Japan  

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  • A shape resonance model for quantum walks Invited International conference

    Hisashi Morioka

    2nd Chile-Japan Workshop on Mathematical Physics and Partial Differential Equations  2023.9  Universidad de Santiago de Chile

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    Event date: 2023.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:Universidad de Santiago de Chile   Country:Chile  

    Some properties of resonances for multi-dimensional quantum walks are studied. Resonances for quantum walks are defined as eigenvalues of complex translated time evolution operators in the pseudo momentum space. A quantum walk with a non-penetrable barrier has some eigenvalues. We can see an instability of eigenvalues undera perturbation of the non-penetrable barrier. However, we also see the stability as resonance poles. This is an analogue of shape resonance model for Schrodinger operators. This is a joint work with Kenta Higuchi (Ehime University / JSPS research fellow PD).

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  • 量子ウォークにおける形状共鳴の複素平行移動による解析

    Kenta Higuchi, Hisashi Morioka

    MSJ Autumn Meeting  2023.9  The Mathematical Society of Japan

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    Event date: 2023.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tohoku University   Country:Japan  

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  • A shape resonance model for quantum walks Invited International conference

    Hisashi Morioka

    RIMS共同研究(グループ型A)「様々なポテンシャルを持つシュレディンガー作用素のスペクトル理論」  2023.9 

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    Event date: 2023.9

    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:RIMS   Country:Japan  

    Some properties of resonances for multi-dimensional quantum walks are studied. Resonances for quantum walks are defined as eigenvalues of complex translated time evolution operators in the pseudo momentum space. A quantum walk with a non-penetrable barrier has some eigenvalues. We can see an instability of eigenvalues under a perturbation of the non-penetrable barrier. However, we also see the stability as resonance poles. This is an analogue of shape resonance model for Schrödinger operators. This is a joint work with Kenta Higuchi (Ehime University / JSPS research fellow PD).

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  • Complex translation methods and its application to resonances for quantum walks Invited

    Hisashi Morioka

    RIMS共同研究(グループ型A)「​線形及び非線形分散型方程式に関する近年の進展」  2023.5 

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    Event date: 2023.5

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:RIMS   Country:Japan  

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  • 定常波動方程式の散乱・逆散乱と非散乱エネルギー Invited International coauthorship

    Hisashi Morioka

    Takamatsu Workshop on Partial Differential Equations  2023.3 

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    Event date: 2023.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Kagawa University   Country:Japan  

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  • 流出入を伴う1次元格子上量子ウォークの収束速度

    Yoshihiro Anahara, Hisashi Morioka, Etsuo Segawa

    MSJ Spring Meeting  2023.3  The Mathematical Society of Japan

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    Event date: 2023.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Chuo Unviersity   Country:Japan  

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  • Resonance expansion for finitely perturbed free quantum walks on the line

    Kenta Higuchi, Hisashi Morioka, Etsuo Segawa

    MSJ Spring Meeting  2023.3  The Mathematical Society of Japan

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    Event date: 2023.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Chuo Unviersity   Country:Japan  

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  • 流出入を伴う1次元格子上量子ウォークの極限定理

    Yoshihiro Anahara, Norio Konno, Hisashi Morioka, Etsuo Segawa

    MSJ Spring Meeting  2023.3  The Mathematical Society of Japan

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    Event date: 2023.3

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Chuo Unviersity   Country:Japan  

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  • 離散系でのRellich型一意性定理に関するいくつかの話題について I/II Invited

    Hisashi Morioka

    スペクトル・散乱 待兼山シンポジウム  2023.1 

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    Event date: 2023.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Osaka University  

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  • 区間上の2状態量子ウォークモデルに対する動的境界制御可能性

    Hisashi Morioka

    日本応用数理学会環瀬戸内応用数理研究部会  2022.12 

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    Event date: 2022.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Ehime University   Country:Japan  

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  • 格子上の離散シュレーディンガー作用素に対する固有値問題と一意接続原理について Invited

    Hisashi Morioka

    大阪大学微分方程式セミナー  2022.11  Osaka University

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    Event date: 2022.11

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Osaka University   Country:Japan  

    平行移動周期的であるような格子上の離散シュレーディンガー作用素の固有値問題を考える. 特に, ポテンシャルが台有限個もしくは指数的減衰の条件を満たす場合に, 連続スペクトル内部に埋め込まれた固有値が存在するか, という問題に着目する. 摂動が短距離型条件を満たすとき, ユークリッド空間または適当な条件下で散乱理論が成り立つ非コンパクト多様体の場合には, この種の埋蔵固有値が存在しないことが知られており, その証明には一般化固有関数に対するアプリオリな減衰度の評価と一意接続原理が重要な役割を果たす. 格子上の離散シュレーディンガー作用素の場合, これらの問題は全く自明ではなく, 格子の構造に強く依存することが分かっている. Isozaki-Morioka (2014) とAndo-Isozaki-Morioka (2015) でいくつかの典型的な例についてこれらの問題は調べられてきたが, 本講演ではできる限り一般的な枠組みでどこまでのことが分かるのかについて述べる. さらに, 現時点で未解決な問題と, その内容についても言及したい. 本講演は, 安藤和典氏(愛媛大学), 磯崎洋氏(筑波大学名誉教授)との共同研究である.

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  • 格子上のシュレーディンガー作用素と逆問題 Invited International coauthorship

    Hisashi Morioka

    日本応用数理学会2022年度年会, 正会員OS「逆問題の数理解析」  2022.9  The Japan Society for Industrial and Applied Mathematics

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    Event date: 2022.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Hokkaido University   Country:Japan  

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  • Inverse problems on metric graphs for graphene Invited International coauthorship

    Hisashi Morioka

    作用素論セミナー  2022.1 

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    Event date: 2022.1

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Metric graphは, 各辺上で常微分作用素を定義し, 各頂点で適当な境界条件を与えたグラフである. 本講演では六角格子の各辺上で対称な実数値ポテンシャルを伴うシュレーディンガー作用素を考え, 典型的な境界条件であるキルヒホフ条件を与える. 六角格子上の適当な有界領域においてディリクレ-ノイマン写像(D-N map)を定義し, D-N mapからポテンシャルを再構成する逆問題に関する結果を述べる. 時間が許せば, 六角格子上の逆散乱問題との関係についても述べたい. 本講演の内容は, 安藤和典氏(愛媛大学), 磯崎洋氏(筑波大学名誉教授), Evgeny Korotyaev氏(St. Petersburg Univ.)との共同研究に基づいている.

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  • Inverse problems on metric graphs for graphene Invited International coauthorship

    Hisashi Morioka

    Hiroshima Mathematical Analysis Seminar  2022.1  Hiroshima University

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    Event date: 2022.1

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Country:Japan  

    Metric graph は,各辺上で常微分作用素を定義し,各頂点で適当な境界条件を与えたグラフである.本講演では六角格子の各辺上で対称な実数値ポテンシャルを伴うシュレーディンガー作用素を考え,典型的な境界条件であるキルヒホフ条件を与える.本講演では,六角格子上の適当な有界領域においてディリクレ-ノイマン写像 (D-N map) を定義し,D-N map からポテンシャルを再構成する逆問題に関する結果を述べる.本講演の内容は,安藤和典氏(愛媛大学),磯崎洋氏(筑波大学名誉教授),Evgeny Korotyaev 氏(St. Petersburg Univ.)との共同研究に基づいている.

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  • 多次元量子ウォークの時間定常的散乱理論と一般化固有関数について Invited

    Hisashi Morioka

    第10回信州関数解析シンポジウム  2021.11  Shinshu University

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    Event date: 2021.11

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:online meeting  

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  • Time-independent scattering theory for multi-dimensional quantum walks

    Takashi Komatsu, Norioa Konno, Hisashi Morioka, Etsuo Segawa

    MSJ Autumn Meeting  2021.9  The Mathematical Society of Japan

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    Event date: 2021.9

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Chiba University (Online meeting)   Country:Japan  

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  • 多次元量子ウォークに対する時間定常的な散乱理論 Invited

    Hisashi Morioka

    Workshop on Analysis in Kagurazaka 2021  2021.1  Tokyo University of Science

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    Event date: 2021.1

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Online  

    Joint work with Takashi Komatsu, Norio Konno and Etsuo Segawa.

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  • Non-scattering energies for reduced wave equations Invited

    Hisashi Morioka

    微分方程式の総合的研究  2020.12  Division of Functional Equations, The Mathematical Society of Japan

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    Event date: 2020.12

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:online meeting   Country:Japan  

    Joint work with N. Shoji.

    File: sogo_morioka.pdf

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  • パスの数え上げによる1次元2状態量子ウォークに対する散乱行列の明示公式

    Takashi Komatsu, Norio Konno, Hisashi Morioka, Etsuo Segawa

    2020年度応用数学合同研究集会  2020.12  Division of Applied Mathematics, The Mathematical Society of Japan

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    Event date: 2020.12

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:online meeting  

    Speaker : Takashi Komatsu

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  • 1次元2状態量子ウォークの散乱行列について Invited International conference

    Hisashi Morioka

    信州数理物理セミナー  2020.7 

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    Event date: 2020.7

    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:online meeting  

    1次元2状態量子ウォークに対して一般化固有関数を構成し, その中に含まれる散乱行列を考える. 散乱行列は, 散乱理論の一般論としては既によく知られた対象であるが, 本講演では, 有限次元摂動を持つ量子ウォークの場合に, ある種の組み合わせ論的な議論を行うことで散乱行列の明示公式を構成できることを示す. このことは. 長時間後における量子ウォーカーのパスの数え上げを行うことに相当する. 本講演は, 小松堯氏, 今野紀雄氏, 瀬川悦生氏との共同研究による.

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  • 散乱行列と共鳴トンネル効果について

    Hisashi Morioka

    第2回スペクトル・散乱若手勉強会  2020.2 

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    Event date: 2020.2

    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Ehime University   Country:Japan  

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  • Complex Fermi surfaces and spectrum of discrete Laplacian on perturbed lattices International conference

    Hisashi MORIOKA

    The 4th workshop on spectral graph theory and related topics  2015.11 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:University of Tsukuba  

    Joint works with Kazunori Ando (Ehime University) and Hiroshi Isozaki (University of Tsukuba).

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  • 離散ラプラシアンのフェルミ面とスペクトル Invited

    Hisashi MORIOKA

    今野・竹居研究室セミナー  2015.12  横浜国立大学工学府 今野研究室

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    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Yokohama National University  

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  • Spectral properties of Schrödinger operators on perturbed lattices

    Kazunori ANDO, Hiroshi ISOZAKI, Hisashi MORIOKA

    MSJ Spring Meeting 2016  2016.3  Mathematical Society of Japan

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:University of Tsukuba  

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  • 非散乱エネルギーと透過固有値問題 Invited

    Hisashi MORIOKA

    神戸大学解析セミナー  2016.6  Kobe University

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    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Kobe University  

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  • Non-scattering energy and transmission eigenvalue problems Invited International conference

    Hisashi MORIOKA

    Lectures on Semi-Classical Analysis  2016.7  Ritsumeikan University

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    Venue:BKC, Ritsumeikan University  

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  • Non-scattering energy and transmission eigenvalue problems on manifolds Invited International conference

    Hisashi MORIOKA

    The 14th Linear and Nonlinear Waves  2016.11  Osaka University

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    Venue:Piazza Omi, Otsu  

    Joint work with Naotaka Shoji (Univ. of Tsukuba).

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  • Inverse scattering problems on perturbed lattices and geometry of networks Invited International conference

    Hisashi MORIOKA

    2nd East Asia Section of IPIA-Young Scholars Symposium  2016.11  Inverse Problems International Association

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    Venue:National Center for Theoretical Sciences in National Taiwan University  

    Joint work with K. Ando and H. Isozaki.

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  • 格子上の逆散乱問題とネットワークの逆問題

    Hisashi MORIOKA

    2016年度応用数学合同研究集会  2016.12  日本数学会応用数学分科会

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Ryukoku University  

    This is a joint work with Kazunori Ando and Hiroshi Isozaki.

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  • 正方格子における離散Schrödinger作用素の境界値逆問題について Invited

    森岡 悠

    作用素論セミナー  2010.10 

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    Language:Japanese  

    Venue:数理解析研究所  

    File: op_seminar1015.pdf

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  • 離散Dirichlet-Neumann写像による電気伝導度の再構成について

    森岡 悠

    応用数学合同研究集会 離散系セッション  2010.12 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:龍谷大学  

    File: ouyou_goudou.pdf

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  • 離散Dirichlet-Neumann写像による電気伝導度の決定について

    森岡 悠

    第7回数学総合若手研究集会  2011.3 

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    Venue:北海道大学  

    File: mcyr7.pdf

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  • Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice Invited

    Hisashi MORIOKA

    Osaka Univ. 微分方程式セミナー  2011.7 

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    Venue:Osaka University  

    This is a jointed work with Prof. H. Isozaki.

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  • Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice

    Hisashi MORIOKA

    第33回 発展方程式若手セミナー  2011.8 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tsukuba city, Ibaraki, Japan  

    This is a jointed work with Prof. H. Isozaki.

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  • Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice

    Hisashi MORIOKA

    2011 夏の作用素論シンポジウム  2011.9 

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    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Kumamoto  

    This is a jointed work with Prof. H. Isozaki.

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  • On absence of embedded eigenvalues and a unique continuation property for discrete Schrödinger operators

    Hisashi MORIOKA

    The 8th Mathematics Conference for Young Researchers  2012.2  Hokkaido University

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    Venue:Hokkaido University  

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  • A Rellich type theorem for discrete Schrödinger operators

    Hisashi MORIOKA

    2012 夏の作用素論シンポジウム  2012.9 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Niigata University  

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  • A Rellich type theorem for discrete Schrödinger operators

    Hiroshi Isozaki, Hisashi Morioka

    The Mathematical Society of Japan Autumn Meeting  2012.9  The Mathematical Society of Japan

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    Venue:Kyushu University  

    File: rellich_view.pdf

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  • Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice

    Hiroshi Isozaki, Hisashi Morioka

    The Mathematical Society of Japan Autumn Meeting  2012.9  The Mathematical Society of Japan

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    Venue:Kyushu University  

    File: isp_view.pdf

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  • Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice, International conference

    Hisashi MORIOKA

    International Conference on Inverse Problems and Related Topics 2012  2012.10 

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    Venue:Southeast University, Nanjing, China  

    This is a jointed work with H. Isozaki.

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  • Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice Invited International conference

    Hisashi MORIOKA

    RIMS Workshop "Inverse problems of partial differential equations and related topics"  2012.11 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Research Institute for Mathematical Sciences, Kyoto University  

    This is a jointed work with H. Isozaki.

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  • A Rellich type theorem for discrete Schrödinger operators and its applications Invited

    Hisashi MORIOKA

    RIMS Workshop "Spectral and scattering theory and related topics"  2012.12 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Research Institute for Mathematical Sciences  

    This is a jointed work with H. Isozaki.

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  • A Rellich type theorem for discrete Schrödinger operators and its applications

    Hisashi MORIOKA

    スペクトル・散乱 松山シンポジウム  2013.1 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Ehime University  

    This talk is based on joint works with Hiroshi Isozaki, and with Kazunori Ando.

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  • On the Rellich type theorem for discrete Schrödinger operators on certain periodic graphs and its applications for inverse problems

    Hisashi MORIOKA

    逆問題とその周辺分野に関するミニワークショップ  2013.3 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:University of Tokyo  

    This talk is based on joint works with Hiroshi Isozaki, and with Kazunori Ando.

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  • Scattering theory on non-compact graphs with square-lattice-like ends

    Hisashi MORIOKA

    第1回つくばフレッシュマンセミナー  2013.7 

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    Venue:University of Tsukuba  

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  • Scattering theory on non-compact graphs with Z^d ends

    Hisashi MORIOKA

    2013 夏の作用素論シンポジウム  2013.9 

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    Venue:Hiroshima University  

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  • エンドを持つグラフ上のスペクトル・散乱理論

    Hisashi MORIOKA

    学習院大学理学部数学科 談話会  2013.10 

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    Venue:Gakushuin University  

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  • Scattering theory for discrete Laplace operators on graphs with $Z^d$ ends Invited

    Hisashi MORIOKA

    第2回 信州関数解析シンポジウム  2013.11 

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    Venue:Shinsyu University  

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  • エンドを持つグラフ上のスペクトル理論について

    Hisashi MORIOKA

    2013年度応用数学合同研究集会  2013.12  MSJ, Division of Applied Mathematics

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    Venue:Ryukoku University  

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  • An inverse boundary value problem for a discrete Schrödinger operator on finite domains in the integer lattice International conference

    Hisashi MORIOKA

    Workshop "Inverse spectral theory - Continuous and Discrete Models"  2010.3 

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    Language:English   Presentation type:Symposium, workshop panel (nominated)  

    Venue:University of Tsukuba, Japan  

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  • Inverse boundary value problem for a discrete Schrödinger operator on the integer lattice

    森岡 悠

    筑波大学解析セミナー  2010.6 

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    Venue:筑波大学  

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  • Inverse boundary value problem for a discrete Schrödinger operator on the integer lattice

    森岡 悠

    RIMS研究集会「偏微分方程式の逆問題解析とその周辺分野に関する研究」  2010.6 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:京都大学 数理解析研究所  

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  • 正方格子における離散Schrödinger作用素の境界値逆問題について

    森岡 悠

    日本数学会秋季総合分科会  2010.9 

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    Venue:名古屋大学  

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  • Weyl's law of non-scattering energies for time-harmonic acoustic equations Invited International conference

    Hisashi MORIOKA

    Mini-workshop Neumann-Poincaré operator and related topics  2019.3 

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    Venue:Inha University (Incheon, Korea)  

    Joint work with Naotaka Shoji.

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  • 1次元2状態量子ウォークの一般化固有関数について Invited

    Hisashi MORIOKA

    Analysis seminar, Ehime University  2019.4  Ehime University

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    Venue:Ehime University  

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  • 1次元2状態量子ウォークの一般化固有関数と散乱行列 Invited

    Hisashi MORIOKA

    RIMS共同研究(グループ型)「量子ウォークとスペクトル散乱理論の数理」  2019.6 

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    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:RIMS  

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  • Weyl-type lower bound for non-scattering energies for acoustic equations Invited International conference

    Hisashi MORIOKA

    Summer School on Applied Inverse Problems and Related Topics  2019.8 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Tambara Institute of Mathematical Sciences  

    Joint work with Naotaka Shoji.

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  • 格子上の離散シュレーディンガー作用素の連続スペクトル Invited

    Hisashi MORIOKA

    Summer School 数理物理 2019  2019.8  University of Tokyo

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    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:University of Tokyo  

    2019/8/23-25

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  • 定常音響波動方程式の非散乱エネルギーに対するワイル則

    Hisashi MORIOKA

    2019 夏の作用素論シンポジウム  2019.9 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:和歌山ビッグ愛  

    Joint work with Naotaka Shoji.

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  • Generalized eigenfunctions and scattering matrices for one-dimensional two-state quantum walks

    Hisashi MORIOKA

    MSJ Autumn Meeting 2019  2019.9  Mathematical Society of Japan

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kanazawa University  

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  • Non-scattering energies for acoustic-type equations on manifolds with a single flat end Invited International conference

    Hisashi MORIOKA

    RIMS Workshop ``Spectral and Scattering Theory and Related Topics"  2019.12 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:RIMS  

    Joint work with Naotaka Shoji.

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  • Non-scattering energies for acoustic-type equations on manifolds with a single flat end Invited International conference

    Hisashi Morioka

    Schrödinger Operators and Related Topics -In honor of Professor Shu Nakamura on his sixtieth birthday-  2020.1 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Gakushuin University  

    Joint work with Naotaka Shoji.

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  • Weyl's lower bounds of positive interior transmission eigenvalues on manifolds

    Hisashi MORIOKA

    作用素論セミナー  2016.12 

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    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:RIMS  

    This is a joint work with Naotaka Shoji.

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  • Inverse scattering problems on perturbed lattices and geometry of networks Invited International conference

    Hisashi MORIOKA

    RIMS Workshop on``Inverse problems for partial differential equations and related areas"  2017.1 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:RIMS  

    Joint work with Kazunori ANDO (Ehime Univ.) and Hiroshi ISOZAKI (Prof. Emeritus, Univ. of Tsukuba).

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  • Absence of embedded eigenvalues for discrete Schrödinger operators with decaying potentials Invited International conference

    Hisashi MORIOKA

    RIMS Gasshuku-style seminar ``Workshop on linear and nonlinear dispersive equations and related topics"  2017.5 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:Kansai Seminar House  

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  • 格子欠損の位置決定について

    Hisashi MORIOKA

    2017 Op. seminar  2017.7 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:伊勢市観光文化会館  

    Joint work with Kazunori Ando and Hiroshi Isozaki.

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  • Interior transmission eigenvalue problems on compact manifolds with smooth boundary

    Hisashi MORIOKA, Naotaka SHOJI

    MSJ Autumn meeting  2017.9  The Mathematical Society of Japan

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Yamagata University  

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  • Dirichlet-Neumann写像による格子欠損の位置決定

    Hisashi MORIOKA

    スペクトラルグラフ理論および周辺領域 第6回研究集会  2017.10 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tottori University  

    Joint work with Kazunori Ando and Hiroshi Isozaki.

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  • 磁場付き離散シュレーディンガー作用素に対するレリッヒ型一意性定理について Invited

    Hisashi MORIOKA

    松山スペクトル・散乱セミナー  2017.11 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Ehime University  

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  • 磁場付き離散シュレーディンガー作用素の連続スペクトルについて

    Hisashi MORIOKA

    2017年度応用数学合同研究集会  2017.12  Division of Applied Mathematics, MSJ

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Ryukoku University  

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  • An approximate control on plate equations by power series of the Gevrey class Invited International conference

    Hisashi MORIOKA

    RIMS Workshop on "Inverse problems of partial differential equations and related topics"  2018.1 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:RIMS  

    This is a joint work with Shouta Mori and Hideki Takuwa.

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  • On embedded eigenvalues -discrete Laplacians and quantum walks- Invited International conference

    Hisashi MORIOKA

    グラフ上の逆問題、スペクトル解析と関連課題研究ワークショップ  2018.6 

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    Language:English   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Hokkaido University  

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  • Weyl's law of non-scattering energies for time-harmonic acoustic equations Invited International conference

    Hisashi MORIOKA

    International Workshop on ``Tomography and Inverse Problem"  2019.3  Advanced Innovation powered by Mathematics Platform

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    Language:English   Presentation type:Oral presentation (invited, special)  

    Venue:University of Tsukuba  

    Joint work with N. Shoji.

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  • 量子ウォークにおける埋蔵固有値を用いた辺欠損の検出について

    Hisashi MORIOKA

    2018夏の作用素論シンポジウム  2018.9 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tokushima city  

    Joint work with Etsuo Segawa (Tohoku University).

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  • Generalized eigenfunction of unitary operators associated with quantum walks on ${\bf Z}$ Invited International conference

    Hisashi MORIOKA

    Chile-Japan Workshop on Mathematical Physics and Partial Differential Equations  2018.9 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:University of Tokyo  

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  • Detection of edge defects by embedded eigenvalues of quantum walks

    Hisashi MORIOKA, Etsuo SEGAWA

    MSJ Autumn Meeting 2018  2018.9  Mathematical Society of Japan

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Okayama University  

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  • Generalized eigenfunctions and scattering matrices for position-dependent quantum walks

    Hisashi MORIOKA

    スペクトラルグラフ理論および周辺領域第7回研究集会  2018.11 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:北九州市立男女共同参画センター・ムーブ  

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  • 1次元2状態量子ウォークの一般化固有関数と散乱行列 Invited

    Hisashi MORIOKA

    今野・竹居研究室セミナー  2018.11 

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    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Yokohama National University  

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  • 音響波動方程式における非散乱エネルギーに対するWeyl則について Invited

    Hisashi MORIOKA

    Analysis seminar, Ehime University  2018.11 

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    Language:Japanese   Presentation type:Public lecture, seminar, tutorial, course, or other speech  

    Venue:Ehime University  

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  • 量子ウォークの一般化固有関数と散乱行列

    Hisashi MORIOKA

    2018年度応用数学合同研究集会  2018.12  日本数学会応用数学分科会

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Ryukoku  

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  • Probing defects via inverse scattering on perturbed lattices Invited International conference

    Hisashi MORIOKA

    AIMR Workshop on Pure and Applied Mathematics  2019.1  AIMR, Tohoku University

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:AIMR, Tohoku University  

    This is a joint work with Kazunori Ando and Hiroshi Isozaki.

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  • Weyl's law of non-scattering energies for time-harmonic acoustic equations Invited International conference

    Hisashi MORIOKA

    RIMS Workshop on ``Inverse problems for partial differential equations and related areas"  2019.1 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:RIMS  

    Joint work with Naotaka Shoji (Kaichi-Mirai Junior and Senior High School).

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  • Weyl-type lower bound for non-scattering energies of time-harmonic acoustic equations Invited

    Hisashi MORIOKA

    MSJ Spring Meeting  2019.3  Mathematical Society of Japan

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    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:Tokyo Institute of Technology  

    Joint work with N. Shoji (Kaichi-Mirai Junior and Senior High School).

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  • On the Rellich type theorem for the discrete Laplacian on perturbed lattices

    Hisashi MORIOKA

    離散数学とその応用研究集会2014  2014.8 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Niigata  

    This is a joint work with Kazunori Ando and Hiroshi Isozaki.

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  • On the Rellich type theorem for the discrete Laplacian on perturbed lattices

    Hisashi MORIOKA

    2014夏の作用素論シンポジウム  2014.9 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Nagahama city  

    This is a joint work with Kazunori Ando and Hiroshi Isozaki.

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  • Spectral properties of Schrödinger operators on perturbed lattices Invited

    Hisashi MORIOKA

    量子系の数理と物質制御への展開 ~量子ウォークを架け橋に~  2014.9  東北大学重点戦略支援プログラム「数学をコアとするスマート・イノベーシ ョン融合研究共通基盤の構築と展開」, 統計数理研究所 数学協働プログラム

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Tohoku university  

    This is a joint work with Kazunori Ando and Hiroshi Isozaki.

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  • Spectral properties of Schrödinger operators on perturbed lattices Invited

    Hisashi Morioka

    RIMS workshop "Spectral and Scattering Theory and Related Topics"  2014.10 

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:RIMS, Kyoto  

    This is a joint work with Kazunori Ando and Hiroshi Isozaki.

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  • Spectral properties of Schrödinger operators on perturbed lattices Invited

    Hisashi MORIOKA

    Linear and Nonlinear Waves 12  2014.11  Osaka University

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:ピアザ淡海 (Otsu)  

    Joint work with K. Ando and H. Isozaki.

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  • Spectral properties of Schrödinger operators on perturbed lattices

    Kazunori Ando, Hiroshi Isozaki, ○Hisashi Morioka

    2014年度応用数学合同研究集会  2014.12  The Mathematical Society of Japan

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Ryukoku University  

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  • Complex Fermi surfaces and Rellich type theorem for discrete Schrödinger operators and its applications Invited

    Hisashi MORIOKA

    Workshop: Quantum walks, random walks and scattering theory on periodic systems  2015.1  Nagoya University

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    Language:English   Presentation type:Symposium, workshop panel (nominated)  

    Venue:Nagoya University  

    This talk is based on a joint work with K. Ando and H. Isozaki.

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  • Spectral theory and inverse problems for Schrödinger operators on perturbed periodic lattices International conference

    Kazunori Ando, Hiroshi Isozaki, Hisashi Morioka

    8th International Congress on Industrial and Applied Mathematics  2015.8  China Society for Industrial and Applied Mathematics

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    Language:English   Presentation type:Oral presentation (general)  

    Venue:China National Convention Center  

    We talk about the spectral properties of Schroedinger operators on perturbed lattices. The main topics are the non-existence or the discreteness of embedded eigenvalues, the limiting absorption principle for the resolvent, spectral representations, the S-matrix and the associated inverse problems. Our theory covers the square, triangular, diamond, Kagome lattices, as well as the ladder, the graphite and the subdivision.

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  • Absence of embedded eigenvalues for discrete Schrödinger operators with short-range potentials

    Hisashi MORIOKA

    離散数学とその応用研究集会2015  2015.8  Kumamoto University

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:Kumamoto University  

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  • Absence of embedded eigenvalues for discrete Schrödinger operators on periodic lattices with short-range perturbations Invited

    Hisashi MORIOKA

    RIMS共同研究「共鳴極と測地線の幾何の再解釈と新展開」  2015.9  RIMS

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    Language:Japanese   Presentation type:Oral presentation (invited, special)  

    Venue:RIMS  

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  • Absence of embedded eigenvalues for discrete Schrödinger operators with short-range potentials

    Hisashi MORIOKA

    2015年夏の作用素論シンポジウム  2015.9 

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    Language:Japanese   Presentation type:Oral presentation (general)  

    Venue:フェニックスプラザ(Fukui)  

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  • Inverse problems on lattices

    Hisashi MORIOKA

    日本数学会 異分野・異業種研究交流会2015  2015.11  The Mathematical Society of Japan

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    Language:Japanese   Presentation type:Poster presentation  

    Venue:University of Tokyo  

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Research Projects

Other

  • RIMS Symposium (Open) Theoretical and numerical approaches for inverse problems

    2025.1

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    January 20th (Mon) - 22nd (Wed)
    Organizers : Hisashi Morioka (Ehime University), Takashi Ohe (Okayama University of Science)
    https://sites.google.com/view/rimsinverseproblem2025/

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  • [00462] Mathematical and applicable studies on quantum walks

    2023.8

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    10th International Congress on Industrial and Applied Mathematics
    Organizer of the Minisymposium [00462]
    https://iciam2023.org/registered_data?id=00462

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  • [01996] Control and inverse problems on waves, oscillations and flows

    2023.8

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    10th International Congress on Industrial and Applied Mathematics
    Organizer of Minisymposium
    https://iciam2023.org/registered_data?id=01996

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  • 日本応用数理学会環瀬戸内応用数理研究部会

    2023.4

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    幹事
    https://sites.google.com/a/comp.cs.ehime-u.ac.jp/kansetouchi/

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  • RIMS Workshop Spectral and Scattering Theory and Related Topics

    2021.12

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    Organizers: Kazunori Ando (Ehime University), Hisashi Morioka (Ehime University)
    https://www.cs.ehime-u.ac.jp/ando/rims2021/index.html

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  • 第2回スペクトル・散乱若手勉強会

    2020.2

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    Organizer, Feb. 20, 2020, Ehime University.
    https://mkawa072676.wixsite.com/k-seminar/theater-1

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  • 松山解析セミナー

    2020.1

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    Organizer
    January 31 - February 1, 2020.
    http://www.math.sci.ehime-u.ac.jp/~analysis-seminar/matsuyama.html

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  • 松山スペクトル・散乱セミナー

    2019.12

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    Organizer
    December 21-22, 2019
    https://sites.google.com/view/matsuyamaspectrum2019/

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  • RIMS Workshop ``New aspects on spectral analysis brought by geometrical structures"

    2019.9

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    September 9-11, 2019
    https://sites.google.com/view/rims2019geomspec/

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  • Organizing committee of Analysis seminar, Ehime University

    2019.4

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    http://www.math.sci.ehime-u.ac.jp/~analysis-seminar/
    April 2019-

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  • Kyoto-Imadegawa symposium on Spectral and Scattering Theory

    2019.1

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    https://sites.google.com/view/specscattimadegawa2019/

    Organizing committee

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  • グラフ上の逆問題、スペクトル解析と関連課題研究ワークショップ

    2018.6

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    https://bit.ly/2FrZQ2u

    Organizer

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  • Workshop for young scholars Control and inverse problems on waves, oscillations and flows - Mathematical analysis and computational methods -

    2017.8

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    https://sites.google.com/site/macmpimadegawa2017/index/home

    Organizer

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  • 2016 Symposium on Spectral and Scattering Theories in Kanazawa

    2016.1

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    Organizing committee

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  • Workshop for Faculty Development, SIT

    2015.8

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  • Faculty Development training, SIT

    2015.2

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  • Study Group Workshop 2013

    2013.8

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    http://sgw2013.imi.kyushu-u.ac.jp/index.html

    S.G. of NIPPON STEEL & SUMITOMO METAL CORPORATION

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  • 2012年度 産業界からの課題解決のためのスタデイ・グループ

    2013.1

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    http://www.ms.u-tokyo.ac.jp/gcoe/SGW.html

    新日鉄住金グループ参加

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Teaching Experience

  • 数理自然科学特殊講義I (教養学部), 数理科学続論D (理学部), 数理科学特別講義IV (数理科学研究科)

    2024.10 Institution:The University of Tokyo

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  • Applied Mathematics II

    2024.9 Institution:Faculty of Engineering, Ehime University

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  • Fundamentals of Applied Mathematics

    2023.12 Institution:Graduate School of Science and Engineering, Ehime University

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  • Probability and Statistics

    2023.4 Institution:Faculty of Engineering, Ehime University

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  • Differential and Integral Calculus II

    2021.10 - 2023.2 Institution:Faculty of Engineering, Ehime University

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  • Fundamental Computer Science

    2020.4 Institution:Faculty of Engineering, Ehime University

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    Level:Undergraduate (specialized)  Country:Japan

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  • Linear Algebra II

    2019.10 - 2021.1 Institution:Faculty of Engineering, Ehime University

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    Level:Undergraduate (liberal arts)  Country:Japan

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  • Differential and Integral Calculus I

    2019.4 Institution:Faculty of Engineering, Ehime University

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    Level:Undergraduate (liberal arts)  Country:Japan

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  • Advanced Applied Mathematics I

    2019.4 Institution:Graduate School of Science and Engineering, Ehime University

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    Level:Postgraduate  Country:Japan

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  • Advanced Differential Equations

    2018.11 - 2019.1 Institution:Doshisha University

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    Level:Undergraduate (specialized)  Country:Japan

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  • Applied Analysis I

    2018.4 - 2018.7 Institution:Faculty of Science and Engineering, Doshisha University

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    Level:Undergraduate (liberal arts)  Country:Japan

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  • Probability and Statistics I

    2017.9 - 2019.1 Institution:Faculty of Science and Engineering, Doshisha University

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    Level:Undergraduate (liberal arts)  Country:Japan

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  • Fourier and Laplace Analysis

    2017.4 - 2018.7 Institution:Faculty of Science and Engineering, Doshisha University

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    Level:Undergraduate (specialized)  Country:Japan

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  • Introduction to mechanical Engineering

    2017.4 - 2018.7 Institution:Faculty of Science and Engineering, Doshisha University

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    Level:Undergraduate (specialized)  Country:Japan

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  • Basic Mathematics 2

    2017.4 - 2018.7 Institution:Faculty of Science and Engineering, Doshisha University

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    Level:Undergraduate (liberal arts)  Country:Japan

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  • Calculus I

    2017.4 - 2017.8 Institution:The University of Shiga Prefecture, School of Engineering

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    Level:Undergraduate (liberal arts)  Country:Japan

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  • Differential Equations

    2017.4 - 2017.8 Institution:The University of Shiga Prefecture, School of Engineering

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    Level:Undergraduate (liberal arts)  Country:Japan

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  • Linear Algebra II

    2016.10 - 2019.1 Institution:Faculty of Science and Engineering, Doshisha University

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    Level:Undergraduate (liberal arts)  Country:Japan

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  • Ordinary Differential Equations

    2016.4 - 2016.7 Institution:Shibaura Institute of Technology, College of Engineering

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  • Probability and Statistics 1

    2015.9 - 2016.1 Institution:Shibaura Institute of Technology, College of Engineering

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  • Linear Algebra 1

    2014.9 - 2015.7 Institution:Shibaura Institute of Technology, College of Engineering

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  • Differential and Integral Calculus 2

    2014.4 - 2016.7 Institution:Shibaura Institute of Technology, College of Engineering

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  • Calculus I

    2014.4 - 2014.7 Institution:The University of Electro-Communications

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  • Theory of Integration I (Exercises)

    2014.4 - 2014.7 Institution:Gakushuin University, Faculty of Science

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  • Linear Algebra II

    2013.10 - 2014.2 Institution:The University of Electro-Communications

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  • Linear Algebra 2

    2013.9 - 2016.7 Institution:Shibaura Institute of Technology, College of Engineering

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  • Differential and Integral Calculus, and Exercise 1

    2013.9 - 2015.1 Institution:Shibaura Institute of Technology, College of Engineering

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  • Differential and Integral Calculus, and Exercise 2

    2013.4 - 2016.1 Institution:Shibaura Institute of Technology, College of Engineering

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  • Elementary Mathematics (Analysis)

    2013.4 - 2015.7 Institution:Shibaura Institute of Technology, College of Engineering

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Social Activities