Basic Information

Faculty

• 工学部 工学部 情報学科

Professional Memberships

• From Dec. 1998, To Present

  日本数学会
• From Oct. 1992, To Present

  日本応用数理学会
• From Sep. 1992, To Present

  日本物理学会

Academic Degree

• 修士(早稲田大学)
• 博士(早稲田大学)

Research History

• From Apr. 2009, To Present

  Kyoto University, Graduate School of Informatics Department of Applied Mathematics and Physis, 准教授
• From Nov. 2001, To Mar. 2009

  Kyoto University, Graduate School of Informatics Department of Applied Mathematics and Physis, 講師
• From Jul. 1998, To Oct. 2001

  Osaka University, Graduate School of Engineering Science, 助手
• From Apr. 1996, To Jun. 1998

  Waseda University, School of Science and Engineering, 助手

Language of Instruction

• English
• Japanese

ID,URL

• J-Global ID

  200901035985841043

researchmap URL

• https://researchmap.jp/Satoshi_Tsujimoto

Research

Research Topics, Overview of the research

• Research Topics

  Research on the discrete integrable systems, the special functions and the orthogonal polynomials.

Research Interests

• Special Functions
• Cellular Automata
• soliton
• Ultradiscrete system
• Orthogonal Polynomials
• 可積分系
• 離散可積分系

Research Areas

• Natural sciences, Applied mathematics and statistics
• Natural sciences, Basic mathematics

Papers

• Perfect state transfer in two dimensions and the bivariate dual-Hahn polynomials

  Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet

  Progress of Theoretical and Experimental Physics, May 2022, Peer-reviewed

  
• The ultradiscrete Toda lattice and the Smith normal form of bidiagonal matrices

  Katsuki Kobayashi; Satoshi Tsujimoto

  Journal of Mathematical Physics, 01 Sep. 2021, Peer-reviewed

  
• Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices

  Xiang-Ke Chang; Shi-Hao Li; Satoshi Tsujimoto; Guo-Fu Yu

  Journal of Nonlinear Science, May 2021, Peer-reviewed

  
• The rational Heun operator and Wilson biorthogonal functions

  Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  The Ramanujan Journal, 05 Mar. 2021, Peer-reviewed

  
• Degenerate Sklyanin algebras, Askey–Wilson polynomials and Heun operators

  Julien Gaboriaud; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  Journal of Physics A: Mathematical and Theoretical, 06 Nov. 2020, Peer-reviewed

  
• An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type

  Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  Proceedings of the American Mathematical Society, Nov. 2020, Peer-reviewed

  
• Dynamics of the ultra-discrete Toda lattice via Pitman's transformation

  David A. Croydon; Makiko Sasada; Satoshi Tsujimoto

  RIMS Kôkyûroku Bessatsu, Apr. 2020, Peer-reviewed, Invited

  
• Dunkl-supersymmetric orthogonal functions associated with classical orthogonal polynomials

  Yu Luo; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  Journal of Physics A: Mathematical and Theoretical, 28 Feb. 2020, Peer-reviewed

  
• Spin Chains, Graphs and State Revival

  Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet

  In: Foupouagnigni M., Koepf W. (eds) Orthogonal Polynomials. AIMSVSW 2018. Tutorials, Schools, and Workshops in the Mathematical Sciences. Birkhäuser, Cham, 2020, Peer-reviewed

  
• The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type

  Pascal Baseilhac; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  Annales Henri Poincaré, Jul. 2019, Peer-reviewed

  
• Quantum walks on graphs of the ordered Hamming scheme and spin networks

  Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet

  SciPost Physics, Jul. 2019, Peer-reviewed

  
• Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle

  S. Tsujimoto; L. Vinet; A. Zhedanov

  Constructive Approximation, Jun. 2019, Peer-reviewed

  
• Exceptional Bannai-Ito polynomials

  Yu Luo; Satoshi Tsujimoto

  Journal of Approximation Theory, Jan. 2019, Peer-reviewed

  
• Dynamics of the box-ball system with random initial conditions via Pitman's transformation

  David Croydon; Tsuyoshi Kato; Makiko Sasada; Satoshi Tsujimoto

  Memoirs of the AMS, 2019, Peer-reviewed

  
• Symmetric abstract hypergeometric polynomials

  Satoshi Tsujimoto; Luc Vinet; Guo-Fu Yu; Alexei Zhedanov

  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Feb. 2018, Peer-reviewed

  
• Generating functions for the Bannai-Ito polynomials

  G. Bergeron; L. Vinet; S. Tsujimoto

  Proceedings of the American Mathematical Society, 2018, Peer-reviewed

  
• Linearization of the box-ball system: an elementary approach

  S. Kakei; J.J.C. Nimmo; S. Tsujimoto; R. Willox

  Journal of Integrable Systems, 2018, Peer-reviewed

  
• Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials

  Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Jun. 2017, Peer-reviewed

  
• Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials

  Vincent X. Genest; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, Jun. 2017, Peer-reviewed

  
• Spectral Analysis of Transition Operators, Automata Groups and Translation in BBS

  Tsuyoshi Kato; Satoshi Tsujimoto; Andrzej Zuk

  COMMUNICATIONS IN MATHEMATICAL PHYSICS, Feb. 2017, Peer-reviewed

  
• A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system

  Kazuki Maeda; Satoshi Tsujimoto

  JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, Jul. 2016, Peer-reviewed

  
• A new recurrence formula for generic exceptional orthogonal polynomials

  Hiroshi Miki; Satoshi Tsujimoto

  JOURNAL OF MATHEMATICAL PHYSICS, Mar. 2015, Peer-reviewed

  
• The Bannai-Ito algebra and some applications

  Hendrik De Bie; Vincent X. Genest; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  XXXTH INTERNATIONAL COLLOQUIUM ON GROUP THEORETICAL METHODS IN PHYSICS (ICGTMP) (GROUP30), 2015, Peer-reviewed

  
• Automata groups and box-ball systems

  Satoshi Tsujimoto; Tsuyoshi Kato; Andrzej Zuk

  RIMS Kôkyûroku Bessatsu, Jun. 2014, Peer-reviewed

  
• BANNAI-ITO POLYNOMIALS AND DRESSING CHAINS

  Maxim Derevyagin; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2014, Peer-reviewed

  
• Direct Connection between the R-II Chain and the Nonautonomous Discrete Modified KdV Lattice

  Kazuki Maeda; Sathoshi Tsujimoto

  SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2013, Peer-reviewed

  
• Convergence acceleration algorithms related to a generalized E-transformation and its particular cases

  Yi He; Xing-Biao Hu; Hon-Wah Tam; Satoshi Tsujimoto

  JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2013, Peer-reviewed

  
• 直交多項式理論からみえてくる可積分系

  前田一貴; 三木啓司; 辻本 諭

  日本応用数理学会論文誌, 2013, Peer-reviewed

  
• Padé interpolation for elliptic painlevé equation

  Masatoshi Noumi; Satoshi Tsujimoto; Yasuhiko Yamada

  Springer Proceedings in Mathematics and Statistics, 2013, Peer-reviewed

  
• Dual -1 Hahn polynomials: "Classical" polynomials beyond the leonard duality

  Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  Proceedings of the American Mathematical Society, 2013, Peer-reviewed

  
• Construction of the exceptional orthogonal polynomials and its application to the superintegrable system

  S. Tsujimoto

  RIMS Kôkyûroku Bessatsu, 2013, Peer-reviewed

  
• Families of superintegrable Hamiltonians constructed from exceptional polynomials

  Sarah Post; Satoshi Tsujimoto; Luc Vinet

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Oct. 2012, Peer-reviewed

  
• An algebraic model for the multiple Meixner polynomials of the first kind

  Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Aug. 2012, Peer-reviewed

  
• Quantum-state transfer in a two-dimensional regular spin lattice of triangular shape

  Hiroshi Miki; Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  Physical Review A - Atomic, Molecular, and Optical Physics, 08 Jun. 2012, Peer-reviewed

  
• Dunkl shift operators and Bannai-Ito polynomials

  Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  ADVANCES IN MATHEMATICS, Mar. 2012, Peer-reviewed

  
• Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems

  Hiroshi Miki; Hiroaki Goda; Satoshi Tsujimoto

  SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2012, Peer-reviewed

  
• A rough analytic relation on partial differential equations

  Tsuyoshi Kato; Satoshi Tsujimoto

  Journal of Mathematics Research, 2012, Peer-reviewed

  
• Jordan algebras and orthogonal polynomials

  Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  JOURNAL OF MATHEMATICAL PHYSICS, Oct. 2011, Peer-reviewed

  
• Cauchy biorthogonal polynomials and discrete integrable systems

  Hiroshi Miki; Satoshi Tsujimoto

  Journal of Nonlinear Systems and Applications, 2011, Peer-reviewed

  
• From sl(q)(2) to a Parabosonic Hopf Algebra

  Satoshi Tsujimoto; Luc Vinet; Alexei Zhedanov

  SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2011, Peer-reviewed

  
• Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations

  Ryu Sasaki; Satoshi Tsujimoto; Alexei Zhedanov

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Aug. 2010, Peer-reviewed

  
• Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy

  Satoshi Tsujimoto

  JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, Feb. 2010, Peer-reviewed

  
• Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice

  Kazuki Maeda; Satoshi Tsujimoto

  JSIAM Letters, 2010, Peer-reviewed

  
• Elliptic Hypergeometric Laurent Biorthogonal Polynomials with a Dense Point Spectrum on the Unit Circle

  Satoshi Tsujimoto; Alexei Zhedanov

  SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2009, Peer-reviewed

  
• A difference analogue of the Davey-Stewartson system: discrete Gram-type determinant solution and Lax pair

  Gegenhasi; Xing-Biao Hu; Decio Levi; Satoshi Tsujimoto

  JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Oct. 2007, Peer-reviewed

  
• Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials

  V. P. Spiridonov; S. Tsujimoto; A. S. Zhedanov

  COMMUNICATIONS IN MATHEMATICAL PHYSICS, May 2007, Peer-reviewed

  
• Determinant structure of non-autonomous Toda-type integrable systems

  A Mukaihira; S Tsujimoto

  JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Jan. 2006, Peer-reviewed

  
• 離散戸田方程式を用いた大規模疎行列の連立一次方程式，行列式，固有多項式の計算法

  木村欣司; 野呂正行; 辻本諭; 中村佳正

  日本応用数理学会論文誌, 25 Sep. 2005, Peer-reviewed

  
• SOME ASPECTS OF THE TODA MOLECULE

  M. Nishizawa; Y. Ohta; S. Tsujimoto

  GLASGOW MATHEMATICAL JOURNAL, Jun. 2005, Peer-reviewed

  
• Determinant structure of R-I type discrete integrable system

  A Mukaihira; S Tsujimoto

  JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Apr. 2004, Peer-reviewed

  
• On a discrete analogue of the two-dimensional Toda lattice hierarchy

  S Tsujimoto

  PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, Feb. 2002, Peer-reviewed

  
• Pfaffianization of the discrete KP equation

  CR Gilson; JJC Nimmo; S Tsujimoto

  JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, Dec. 2001, Peer-reviewed

  
• Soliton equations exhibiting Pfaffian solutions

  R Hirota; M Iwao; S Tsujimoto

  GLASGOW MATHEMATICAL JOURNAL, Jun. 2001, Peer-reviewed

  
• The discrete Lotka-Volterra system computes singular values

  S Tsujimoto; Y Nakamura; M Iwasaki

  INVERSE PROBLEMS, Feb. 2001, Peer-reviewed

  
• Ultradiscrete KdV equation

  S Tsujimoto; R Hirota

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jun. 1998, Peer-reviewed

  
• Pfaffian representation of solutions to the discrete BKP hierarchy in bilinear form

  S Tsujimoto; R Hirota

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Sep. 1996, Peer-reviewed

  
• CONSERVED QUANTITIES OF A CLASS OF NONLINEAR DIFFERENCE-DIFFERENCE EQUATIONS

  R HIROTA; S TSUJIMOTO

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Sep. 1995, Peer-reviewed

  
• High Precision Simulation of Soliton Problems

  K. Horiuchi; S. Oishi; R. Hirota; S. Tsujimoto

  in "Ultrafast and Ultra-parallel Optoelectronics'', ed. by T. Sueta and T.Okoshi, Ohmsha limited, 1995, Peer-reviewed

  
• DISCRETE 2N-WAVE INTERACTION

  R HIROTA; T IMAI; S TSUJIMOTO; Y OHTA

  MATHEMATICS AND COMPUTERS IN SIMULATION, Dec. 1994, Peer-reviewed

  
• NEW COUPLED INTEGRABLE DISPERSIONLESS EQUATIONS

  R HIROTA; S TSUJIMOTO

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Sep. 1994, Peer-reviewed

  
• CASORATI AND DISCRETE GRAM TYPE DETERMINANT REPRESENTATIONS OF SOLUTIONS TO THE DISCRETE KP HIERARCHY

  Y OHTA; R HIROTA; S TSUJIMOTO; T IMAI

  JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, Jun. 1993, Peer-reviewed

  
• DIFFERENCE SCHEME OF SOLITON-EQUATIONS

  R HIROTA; S TSUJIMOTO; T IMAI

  FUTURE DIRECTIONS OF NONLINEAR DYNAMICS IN PHYSICAL AND BIOLOGICAL SYSTEMS, 1993, Peer-reviewed

  

Misc.

• 新しい箱玉系のルールとその解析

  辻本 諭

  九州大学応用力学研究所研究集会報告, Mar. 2017, Peer-reviewed

  
• A parallelization of singular value computation algorithm by the Lotka-Volterra system

  Konda T; Takata M; Iwasaki M; Tsujimoto S; Nakamura Y

  IPSJ SIG Technical Reports, Dec. 2004

  
• 3a-G-6 Numerical Scheme of the KdV Equation II periodic boundary condition

  Minegishi H.; Tsujimoto S.; Hirota R.

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996

  
• RII 格子と非自励離散 mKdV 方程式

  前田一貴; 辻本諭

  九州大学応用力学研究所研究集会報告, Mar. 2014, Peer-reviewed

  
• 離散可積分系の観点からのdqds法の拡張について

  前田一貴; 辻本諭

  九州大学応用力学研究所研究集会報告, Mar. 2013, Peer-reviewed

  
• RII 格子と対応する箱玉系について

  前田一貴; 辻本諭

  九州大学応用力学研究所研究集会報告, Mar. 2012, Peer-reviewed

  
• 各箱の容量が一般の運搬車付き箱玉系と有限格子上の超離散系

  前田一貴; 辻本諭

  九州大学応用力学研究所研究集会報告, Mar. 2011

  
• 離散可積分特異値計算法の高速化とその数値安定性

  岩崎 雅史; 中村 佳正; 辻本 諭

  九州大学応用力学研究所研究集会報告, 2002

  
• 連分数と可積分系

  岩崎 雅史; 向平 敦史; 中村 佳正; 辻本 諭

  数理解析研究所講究録, Jul. 2001

  
• 3a-G-4 Pfafan Representation of Solutions to the Discrete BKP Hierarchy

  Tsujimoto S.; Hirota R.

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996

  

Presentations

• 3a-G-6 Numerical Scheme of the KdV Equation II periodic boundary condition

  Minegishi H.; Tsujimoto S.; Hirota R.

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996, The Physical Society of Japan (JPS)

  
• 3a-G-4 Pfafan Representation of Solutions to the Discrete BKP Hierarchy

  Tsujimoto S.; Hirota R.

  Abstracts of the meeting of the Physical Society of Japan. Annual meeting, 15 Mar. 1996, The Physical Society of Japan (JPS)

  

Books and Other Publications

• Mathematics of integrable systems

  TSUJIMOTO Satoshi, Contributor, Chapter 2

  Asakura, Mar. 2018, Not refereed

  
• 数理工学のすすめ

  辻本 諭, Contributor, 京都大学数理工学コース編 （pp.127-131）

  現代数学社, 2004, Not refereed

  
• Applied Mathematics of Integrable systems

  TSUJIMOTO Satoshi, Contributor, Chapter 1

  Shokabo, 2000, Not refereed

  

Awards

• 2000

  Physical Society of Japan, Outstanding Paper Award of the Physical Society of Japan

External funds: Kakenhi

• スクリャーニン・ホイン演算子とホイン・バンルベ対応に関する研究

  Grant-in-Aid for JSPS Fellows

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  From 18 Nov. 2021, To 31 Mar. 2024, Declined

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21F21320/
• Analysis of discrete Integrable systems by probability theory based on Pitman's transformation

  Grant-in-Aid for Scientific Research (B)

  Basic Section 12010:Basic analysis-related

  Kyoto University

  辻本 諭

  From 01 Apr. 2019, To 31 Mar. 2024, Granted

  離散可積分系;確率論;Pitman変換;箱玉系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-19H01792/
• Pentagram map in tropical geometry and its application to discrete Morse theory

  Grant-in-Aid for Challenging Research (Exploratory)

  Kyoto University

  Tsuyoshi Kato

  From 30 Jun. 2017, To 31 Mar. 2020, Project Closed

  トロピカル幾何学;力学系;Pitman変換;Nahm変換;量子ランダムウオーク;ホモトピー型;箱玉系;ピットマン変換;Pentagram写像;離散モース理論

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17K18725/
• Classification and analysis of Turing type automata

  Grant-in-Aid for Challenging Exploratory Research

  Kyoto University

  SATOSHI TSUJIMOTO

  From 01 Apr. 2016, To 31 Mar. 2019, Project Closed

  オートマトン;離散可積分系;箱玉系;Pitman変換;確率論;ピットマン変換;特殊関数;ソリトン;直交多項式;力学系;可積分系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-16K13761/
• Theory of classical orthogonal polynomials in terms of discrete integrable systems and its applications

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  SATOSHI TSUJIMOTO

  From 01 Apr. 2013, To 31 Mar. 2016, Project Closed

  力学系・可積分系;直交多項式;特殊関数;古典直交多項式;例外型直交多項式;箱玉系;オートマトン;離散可積分系;国際研究者交流　ウクライナ

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-25400110/
• Research on systems of the biorthogonal functions, discrete andultradiscrete integrable systems, and their applications

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Satoshi TSUJIMOTO

  From 01 Apr. 2010, To 31 Mar. 2013, Project Closed

  可積分系;離散可積分系;超離散可積分系;古典直交多項式;双直交関数系;一般化固有値問題;国際情報交換;アルゴリズム;応用数学;数理工学;直交多項式;量子力学

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22540224/
• Development of Innovative Library for Singular Value Decomposition Suited to Multi-Core Processors

  Grant-in-Aid for Scientific Research (A)

  Kyoto University

  Yoshimasa NAKAMURA

  Project Closed

  数理工学(数理的解析・計画・設計・最適化);特異値分解;マルチコアプロセッサ;特異値計算;原点シフト戦略;GPGPU;並列計算;ライブラリ;クラウドコンピューティング;ライブラリー;可積分系;計算アルゴリズム;ダルブ変換;グラフィックスプロセッサ;単精度GPU;倍精度GPU;GPU;原点シフト

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-20246027/
• Research on the algebraic structure of theToda type non-autonomous discrete integrable systems and its applications

  Grant-in-Aid for Scientific Research (C)

  Kyoto University

  Satoshi TSUJIMOTO

  Project Closed

  アルゴリズム;応用数学;数理工学;可積分系

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-18540214/
• Application of the discrete integrable systems on the semi-infinite lattice to the system of the bi-orthogonal polynomials

  Grant-in-Aid for Scientific Research (C)

  KYOTO UNIVERSITY

  Satoshi TSUJIMOTO

  Project Closed

  ソリトン;離散系;可積分系;直交多項式;行列式の恒等式;双直交多項式;Lotka-Volterra方程式;半無限行列式解;行列式;半無限格子解, soliton;discrete system;integrable system;orthogonal polynomial;identity of determinant;bi-orthogonal polynomial;Lotka-Volterra equation;molecule solution

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15540119/
• Development of innovative numerical integrators which preserving all of the conserved quantities

  Grant-in-Aid for Scientific Research (B)

  Kyoto University

  Yoshimasa NAKAMURA

  Project Closed

  重力3体運動;全保存型差分法;ケプラー運動;ラグランジュの平衡解;数値積分スキーム;エネルギー保存差分法;シンプレクティック法;数値積分法;ステッケル系;重力2中心問題;Kepler運動;保存量;差分スキーム, gravitational 3・body motion;totally conservative integrator;Kepler motion;Langrage's equilateral triangle;energy preserving difference solution;numerical integrator;symplectic integrator method

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-15340030/
• Research on algebraic structures of ultradiscrete soliton equations and applications to engineering

  Grant-in-Aid for Scientific Research (C)

  Osaka University

  Atsushi NAGAI

  Project Closed

  箱玉系;可積分系;離散、超離散;非整数階微分;ミッタークレフラー関数;グリーン関数;逆超離散化;RI格子;q差分;非整数階微分、差分;可解格子模型;離散;超離散;ソリトン;クリスタル;ソリトンセルオートマトン;保存量;4階微分方程式;パフィアン, box and ball systems;integrable system;discrete, ultradiscrete;fractional derivative;MIttag-Leffler function;Green function;inverse ultradiscretization;RI chain

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640212/
• Studies on the orthogonal polynomials, the continued fractions and the discrete integrable systems

  Grant-in-Aid for Scientific Research (C)

  Kyoto University;Osaka University

  Satoshi TSUJIMOTO

  Project Closed

  離散可積分系;直交多項式;連分数展開;戸田方程式;ロトカ・ポルテラ方程式;アルゴリズム;固有値計算;行列式の恒等式;ロトカ・ボルテラ方程式;ソリトン;離散化;行列式;可積分系;有理多項式;Volterra方程式, discrete integrable system;orthogonal polynomial;Toda equation;Lotka-Volterra equation;algorithm;eigen-value problem;identity of determinants;continued fractions

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12640121/
• Research of Algorithms in terms of Information Geometry Structure and Discrete Time Integrable Systems

  Grant-in-Aid for Scientific Research (B)

  KYOTO UNIVERSITY;Osaka University

  Yoshimasa NAKAMURA

  Project Closed

  離散時間可積分系;数値計算アルゴリズム;並列計算;情報幾何;算術調和アルゴリズム;並立計算;可積分系;差分スキーム;離散ケプラー運動;情報幾何構造;算術調和平均のアルゴリズム;アルゴリズム;ソリトン;カオス系, discrete-time integrable systems;numerical algorithms;parallel computing;information geometry;arithmetic harmonic mean algorithm

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-12440025/
• Affine Lie algebra characters and Bethe Ansatz

  Grant-in-Aid for Scientific Research (C)

  Osaka University

  Masato OKADO

  Project Closed

  アフィンリー環;量子群;可積分系, Affine Lie algebra;quantum group;integrable system

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640027/
• Studies on the Discrete Calculus and Its Application to Engineerings

  Grant-in-Aid for Scientific Research (C)

  Waseda University

  Ryogo HIROTA

  Project Closed

  超差分(離散)方程式;可積分系の差分化;非線形差分方程式;差分学;セル・オートマトン;交通流;パターン形成;特異値分解;可積分;差分化;Pfaffian;保存量;コマの運動方程式;超離散方程式;ソーテング;ソリトン;結合型MKdV方程式;交通流モデル;KdV方程式;バーガーズ方程式;ミウラ変換;Max-Plus代数, difference equation;ultradiscrete equation;integrable systems;difference calculus;cellular automaton;Traffic flow;pattern formation;singular values

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-10650065/
• 非線形可積分系の離散化とその応用

  Grant-in-Aid for Encouragement of Young Scientists (A)

  Osaka University;Waseda University

  辻本 諭;辻本 論

  Project Closed

  非線形可積分系;KdV方程式;ソリトン;離散方程式;超離散方程式;双線形化法;保存量;代数的恒等式

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-09750086/
• スクリャーニン・ホイン演算子とホイン・バンルベ対応に関する研究

  Grant-in-Aid for JSPS Fellows

  Basic Section 12020:Mathematical analysis-related

  Kyoto University

  From 22 Apr. 2022, To 31 Mar. 2024, Adopted

  https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22F21320/

Education

Teaching subject(s)

• From 01 Apr. 2022, To 31 Mar. 2023

  Seminar in Mathematical Analysis

  3451, Year-long, Graduate School of Informatics, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Applied Algebra

  9031, Fall, Faculty of Engineering, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Linear Algebra A

  N120, Spring, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Linear Algebra B

  N121, Fall, Institute for Liberal Arts and Sciences, 2
• From 01 Apr. 2022, To 31 Mar. 2023

  Mathematical Analysis, Advanced

  3410, Fall, Graduate School of Informatics, 2
• From Apr. 2011, To Mar. 2012

  数理解析特論

  Fall, 情報学研究科
• From Apr. 2011, To Mar. 2012

  応用代数学

  Fall, 工学部
• From Apr. 2011, To Mar. 2012

  数理工学特別研究１

  Year-long, 情報学研究科
• From Apr. 2011, To Mar. 2012

  数理工学特別研究２

  Year-long, 情報学研究科
• From Apr. 2011, To Mar. 2012

  応用数学特別セミナー

  Fall, 情報学研究科
• From Apr. 2011, To Mar. 2012

  工業数学Ａ３

  Spring, 工学部
• From Apr. 2012, To Mar. 2013

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2012, To Mar. 2013

  Applied Algebra

  Fall, 工学部
• From Apr. 2012, To Mar. 2013

  Seminar on Applied Mathematics, Advanced

  Fall, 情報学研究科
• From Apr. 2012, To Mar. 2013

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2012, To Mar. 2013

  Advanced Study in Applied Mathematics and Physics I

  Year-long, 情報学研究科
• From Apr. 2012, To Mar. 2013

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2013, To Mar. 2014

  Applied Algebra

  Fall, 工学部
• From Apr. 2013, To Mar. 2014

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Advanced Study in Applied Mathematics and Physics I

  Year-long, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Seminar on Applied Mathematics, Advanced

  Fall, 情報学研究科
• From Apr. 2013, To Mar. 2014

  Perspective in Informatics 2

  Spring, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Appleid Mathematics A3

  Spring, 工学部
• From Apr. 2014, To Mar. 2015

  Applied Algebra

  Fall, 工学部
• From Apr. 2014, To Mar. 2015

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Advanced Study in Applied Mathematics and Physics I

  Year-long, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Seminar on Applied Mathematics, Advanced

  Fall, 情報学研究科
• From Apr. 2014, To Mar. 2015

  Prejudice,Discrimination, and Human Rights

  Fall, 全学共通科目
• From Apr. 2015, To Mar. 2016

  Applied Mathematics A2

  Spring, 工学部
• From Apr. 2015, To Mar. 2016

  Applied Algebra

  Fall, 工学部
• From Apr. 2015, To Mar. 2016

  Seminar on Applied Mathematics, Advanced

  Fall, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Introduction to Applied Mathematics and Physics

  Spring, 工学部
• From Apr. 2015, To Mar. 2016

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Advanced Study in Applied Mathematics and Physics I

  Year-long, 情報学研究科
• From Apr. 2015, To Mar. 2016

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Applied Mathematics A2

  Spring, 工学部
• From Apr. 2016, To Mar. 2017

  Applied Algebra

  Fall, 工学部
• From Apr. 2016, To Mar. 2017

  Seminar on Applied Mathematics, Advanced

  Fall, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Perspective in Informatics 2

  Spring, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Introduction to Applied Mathematics and Physics

  Spring, 工学部
• From Apr. 2016, To Mar. 2017

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Advanced Study in Applied Mathematics and Physics I

  Year-long, 情報学研究科
• From Apr. 2016, To Mar. 2017

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Applied Mathematics A2

  Spring, 工学部
• From Apr. 2017, To Mar. 2018

  Applied Algebra

  Fall, 工学部
• From Apr. 2017, To Mar. 2018

  Seminar on Applied Mathematics, Advanced

  Fall, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Introduction to Applied Mathematics and Physics

  Spring, 工学部
• From Apr. 2017, To Mar. 2018

  Advanced Study in Applied Mathematics and Physics II

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Advanced Study in Applied Mathematics and Physics I

  Year-long, 情報学研究科
• From Apr. 2017, To Mar. 2018

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2018, To Mar. 2019

  Applied Mathematics A2

  Spring, 工学部
• From Apr. 2018, To Mar. 2019

  Applied Algebra

  Fall, 工学部
• From Apr. 2018, To Mar. 2019

  Mathematical Analysis, Advanced

  Fall, 工学研究科
• From Apr. 2018, To Mar. 2019

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2019, To Mar. 2020

  ILAS Seminar

  Spring, 全学共通科目
• From Apr. 2019, To Mar. 2020

  Applied Mathematics A2

  Spring, 工学部
• From Apr. 2019, To Mar. 2020

  Applied Algebra

  Fall, 工学部
• From Apr. 2019, To Mar. 2020

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2020, To Mar. 2021

  Applied Mathematics A2

  Spring, 工学部
• From Apr. 2020, To Mar. 2021

  Applied Algebra

  Fall, 工学部
• From Apr. 2020, To Mar. 2021

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Applied Algebra

  Fall, 工学部
• From Apr. 2021, To Mar. 2022

  Seminar in Mathematical Analysis

  Year-long, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Mathematical Analysis, Advanced

  Fall, 情報学研究科
• From Apr. 2021, To Mar. 2022

  Linear Algebra A

  Spring, 全学共通科目
• From Apr. 2021, To Mar. 2022

  Linear Algebra B

  Fall, 全学共通科目

Participation in PhD Defense

• Studies on Discrete Integrable Systems with Positivity and Their Applications

  KOBAYASHI KATSUKI, Graduate School of Informatics, Chief Examiner

  23 Mar. 2022

Administration

Faculty management (title, position)

• From 01 Apr. 2011, To 31 Mar. 2012

  財務委員会委員
• From 01 Apr. 2011, To 31 Mar. 2012

  8号館耐震改修WG委員
• From 01 Apr. 2012, To 31 Mar. 2013

  財務委員会委員
• From 01 Apr. 2012, To 31 Mar. 2013

  8号館耐震改修WG委員
• From 01 Apr. 2013, To 31 Mar. 2014

  財務委員会委員
• From 01 Apr. 2014, To 31 Mar. 2015

  教務委員会委員
• From 01 Apr. 2017, To 31 Mar. 2018

  評価WG委員
• From 01 Apr. 2018, To 31 Mar. 2019

  財務委員会委員
• From 01 Apr. 2018, To 31 Mar. 2019

  ハラスメント窓口相談員
• From 01 Apr. 2019, To 31 Mar. 2021

  基盤整備委員会委員
• From 01 Apr. 2019, To 31 Mar. 2021

  人を対象とする研究倫理小委員会委員長
• From 01 Apr. 2020, To 31 Mar. 2021

  ハラスメント窓口相談員
• From 01 Apr. 2021, To 31 Mar. 2023

  財務委員会委員