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Tsujimoto Satoshi  辻本 諭

… Alternative Names

TSUJIMOTO Satoshi  辻本 諭

辻本 論  ツジモト サトシ

Less
Researcher Number 60287977
Other IDs
  • ORCIDhttps://orcid.org/0000-0001-9916-7908
External Links
Affiliation (Current) 2025: 京都大学, 情報学研究科, 教授
Affiliation (based on the past Project Information) *help 2022 – 2024: 京都大学, 情報学研究科, 教授
2023: 京都大学, 情報学研究科, 准教授
2008 – 2021: Kyoto University, 情報学研究科, 准教授
2011: 京都大学, 大学院・情報学研究科, 准教授
2008 – 2009: Kyoto University, 大学院・情報学研究科, 准教授 … More
2001 – 2008: Kyoto University, Graduate School of Informatics, Lecturer, 情報学研究科, 講師
2001 – 2003: Kyoto Univ., Graduate School of Informatics, Lecturer, 大学院・情報学研究科, 講師
1998 – 2001: 大阪大学, 大学院・基礎工学研究科, 助手
2000: 大阪大学, 大学部・基礎工学研究科, 助手
1997: 早稲田大学, 理工学部, 助手 Less
Review Section/Research Field
Principal Investigator
Basic Section 12020:Mathematical analysis-related / Basic Section 12010:Basic analysis-related / Basic analysis / Global analysis / General mathematics (including Probability theory/Statistical mathematics) / General mathematics (including Probability theory/Statistical mathematics) / Engineering fundamentals
Except Principal Investigator
Algebra, Geometry, and related fields / General mathematics (including Probability theory/Statistical mathematics) / Global analysis … More / General mathematics (including Probability theory/Statistical mathematics) / Algebra / Engineering fundamentals / Engineering fundamentals Less
Keywords
Principal Investigator
離散可積分系 / 直交多項式 / 可積分系 / 箱玉系 / ソリトン / 確率論 / Pitman変換 / アルゴリズム / Lotka-Volterra equation / orthogonal polynomial … More / 行列式 / 行列式の恒等式 / オートマトン / 特殊関数 / 古典直交多項式 / 数理工学 / 応用数学 / Integrable system / Heun operator / integrable systems / multivariate functions / Sklyanin-Heun operator / orthogonal polynomials / hypergeometric functions / 力学系 / ピットマン変換 / molecule solution / bi-orthogonal polynomial / identity of determinant / integrable system / discrete system / soliton / 半無限格子解 / 半無限行列式解 / Lotka-Volterra方程式 / 双直交多項式 / 離散系 / continued fractions / identity of determinants / eigen-value problem / algorithm / Toda equation / discrete integrable system / Volterra方程式 / 有理多項式 / 離散化 / ロトカ・ボルテラ方程式 / 固有値計算 / ロトカ・ポルテラ方程式 / 戸田方程式 / 連分数展開 / 国際研究者交流 ウクライナ / 例外型直交多項式 / 力学系・可積分系 / 量子力学 / 国際情報交換 / 一般化固有値問題 / 双直交関数系 / 超離散可積分系 / 代数的恒等式 / 保存量 / 双線形化法 / 超離散方程式 / 離散方程式 / KdV方程式 / 非線形可積分系 … More
Except Principal Investigator
可積分系 / ソリトン / 保存量 / 箱玉系 / 差分スキーム / integrable system / 並列計算 / 特異値分解 / 離散モース理論 / Pentagram写像 / ピットマン変換 / ホモトピー型 / 量子ランダムウオーク / Nahm変換 / Pitman変換 / 力学系 / トロピカル幾何学 / symplectic integrator method / numerical integrator / energy preserving difference solution / Langrage's equilateral triangle / Kepler motion / totally conservative integrator / gravitational 3・body motion / Kepler運動 / 重力2中心問題 / ステッケル系 / 数値積分法 / シンプレクティック法 / エネルギー保存差分法 / 数値積分スキーム / ラグランジュの平衡解 / ケプラー運動 / 全保存型差分法 / 重力3体運動 / RI chain / inverse ultradiscretization / Green function / MIttag-Leffler function / fractional derivative / discrete, ultradiscrete / box and ball systems / パフィアン / 4階微分方程式 / ソリトンセルオートマトン / クリスタル / 超離散 / 離散 / 可解格子模型 / 非整数階微分、差分 / q差分 / RI格子 / 逆超離散化 / グリーン関数 / ミッタークレフラー関数 / 非整数階微分 / 離散、超離散 / arithmetic harmonic mean algorithm / information geometry / parallel computing / numerical algorithms / discrete-time integrable systems / カオス系 / アルゴリズム / 算術調和平均のアルゴリズム / 情報幾何構造 / 離散ケプラー運動 / 並立計算 / 算術調和アルゴリズム / 情報幾何 / 数値計算アルゴリズム / 離散時間可積分系 / quantum group / Affine Lie algebra / 量子群 / アフィンリー環 / singular values / pattern formation / Traffic flow / cellular automaton / difference calculus / integrable systems / ultradiscrete equation / difference equation / Max-Plus代数 / ミウラ変換 / バーガーズ方程式 / KdV方程式 / 交通流モデル / 結合型MKdV方程式 / ソーテング / 超離散方程式 / コマの運動方程式 / Pfaffian / 差分化 / 可積分 / パターン形成 / 交通流 / セル・オートマトン / 差分学 / 非線形差分方程式 / 可積分系の差分化 / 超差分(離散)方程式 / 原点シフト / GPU / 倍精度GPU / 単精度GPU / グラフィックスプロセッサ / ダルブ変換 / 計算アルゴリズム / ライブラリー / クラウドコンピューティング / ライブラリ / GPGPU / 原点シフト戦略 / 特異値計算 / マルチコアプロセッサ / 数理工学(数理的解析・計画・設計・最適化) Less
  • Research Projects

    (18 results)
  • Research Products

    (91 results)
  • Co-Researchers

    (27 People)
  •  離散戸田格子の拡張による古典直交関数系と不変分布・一般化ギブス測度の新展開Principal Investigator

    • Principal Investigator
      辻本 諭
    • Project Period (FY)
      2024 – 2028
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
  •  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Host Researcher

    • Principal Investigator
      辻本 諭
    • Host Researcher
      辻本 諭
    • Project Period (FY)
      2022 – 2023
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Kyoto University
  •  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Principal Investigator

    • Principal Investigator
      辻本 諭
    • Project Period (FY)
      2021 – 2023
    • Research Category
      Grant-in-Aid for JSPS Fellows
    • Review Section
      Basic Section 12020:Mathematical analysis-related
    • Research Institution
      Kyoto University
  •  Analysis of discrete Integrable systems by probability theory based on Pitman's transformationPrincipal Investigator

    • Principal Investigator
      辻本 諭
    • Project Period (FY)
      2019 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12010:Basic analysis-related
    • Research Institution
      Kyoto University
  •  Pentagram map in tropical geometry and its application to discrete Morse theory

    • Principal Investigator
      Kato Tsuyoshi
    • Project Period (FY)
      2017 – 2019
    • Research Category
      Grant-in-Aid for Challenging Research (Exploratory)
    • Research Field
      Algebra, Geometry, and related fields
    • Research Institution
      Kyoto University
  •  Classification and analysis of Turing type automataPrincipal Investigator

    • Principal Investigator
      TSUJIMOTO SATOSHI
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Challenging Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Theory of classical orthogonal polynomials in terms of discrete integrable systems and its applicationsPrincipal Investigator

    • Principal Investigator
      TSUJIMOTO SATOSHI
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Kyoto University
  •  Research on systems of the biorthogonal functions, discrete andultradiscrete integrable systems, and their applicationsPrincipal Investigator

    • Principal Investigator
      TSUJIMOTO Satoshi
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Development of Innovative Library for Singular Value Decomposition Suited to Multi-Core Processors

    • Principal Investigator
      NAKAMURA Yoshimasa
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Engineering fundamentals
    • Research Institution
      Kyoto University
  •  Research on the algebraic structure of theToda type non-autonomous discrete integrable systems and its applicationsPrincipal Investigator

    • Principal Investigator
      TSUJIMOTO Satoshi
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Kyoto University
  •  Development of innovative numerical integrators which preserving all of the conserved quantities

    • Principal Investigator
      NAKAMURA Yoshimasa
    • Project Period (FY)
      2003 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
  •  Application of the discrete integrable systems on the semi-infinite lattice to the system of the bi-orthogonal polynomialsPrincipal Investigator

    • Principal Investigator
      TSUJIMOTO Satoshi
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
  •  Research on algebraic structures of ultradiscrete soliton equations and applications to engineering

    • Principal Investigator
      NAGAI Atsushi
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka University
  •  Research of Algorithms in terms of Information Geometry Structure and Discrete Time Integrable Systems

    • Principal Investigator
      NAKAMURA Yoshimasa
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYOTO UNIVERSITY
      Osaka University
  •  Studies on the orthogonal polynomials, the continued fractions and the discrete integrable systemsPrincipal Investigator

    • Principal Investigator
      TSUJIMOTO Satoshi
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyoto University
      Osaka University
  •  Affine Lie algebra characters and Bethe Ansatz

    • Principal Investigator
      OKADO Masato
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka University
  •  Studies on the Discrete Calculus and Its Application to Engineerings

    • Principal Investigator
      HIROTA Ryogo
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Engineering fundamentals
    • Research Institution
      Waseda University
  •  非線形可積分系の離散化とその応用Principal Investigator

    • Principal Investigator
      辻本 諭 (辻本 論)
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Engineering fundamentals
    • Research Institution
      Osaka University
      Waseda University

All 2023 2021 2020 2019 2018 2017 2016 2015 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 Other

All Journal Article Presentation Book

  • [Book] 解析学百科II可積分系の数理2018

    • Author(s)
      中村佳正, 高崎金久, 辻本諭, 尾角正人, 井ノ口順一
    • Total Pages
      448
    • Publisher
      朝倉書店
    • ISBN
      9784254117271
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Journal Article] Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems2023

    • Author(s)
      Luo Yu、Tsujimoto Satoshi
    • Journal Title

      Studies in Applied Mathematics

      Volume: 151 Issue: 2 Pages: 585-615

    • DOI

      10.1111/sapm.12603

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] The single-indexed exceptional Krawtchouk polynomials2023

    • Author(s)
      Miki Hiroshi、Tsujimoto Satoshi、Vinet Luc
    • Journal Title

      Journal of Difference Equations and Applications

      Volume: 29 Issue: 3 Pages: 344-365

    • DOI

      10.1080/10236198.2023.2202283

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] Linearization of the Box-ball System with Box Capacity <i>L</i>2023

    • Author(s)
      Maeno Atsushi、Tsujimoto Satoshi
    • Journal Title

      Journal of the Physical Society of Japan

      Volume: 92 Issue: 2 Pages: 465201-465201

    • DOI

      10.7566/jpsj.92.024003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] Quantum walks on simplexes and multiple perfect state transfer2023

    • Author(s)
      Miki Hiroshi、Tsujimoto Satoshi、Zhao Da
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 56 Issue: 46 Pages: 465201-465201

    • DOI

      10.1088/1751-8121/ad034a

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] The ultradiscrete Toda lattice and the Smith normal form of bidiagonal matrices2021

    • Author(s)
      Kobayashi Katsuki、Tsujimoto Satoshi
    • Journal Title

      Journal of Mathematical Physics

      Volume: 62 Issue: 9 Pages: 092701-092701

    • DOI

      10.1063/5.0056498

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19J23445, KAKENHI-PROJECT-19H01792
  • [Journal Article] Two-Parameter Generalizations of Cauchy Bi-Orthogonal Polynomials and Integrable Lattices2021

    • Author(s)
      Chang Xiang-Ke、Li Shi-Hao、Tsujimoto Satoshi、Yu Guo-Fu
    • Journal Title

      Journal of Nonlinear Science

      Volume: 31 Issue: 2

    • DOI

      10.1007/s00332-021-09690-9

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] The rational Heun operator and Wilson biorthogonal functions2021

    • Author(s)
      Tsujimoto Satoshi、Vinet Luc、Zhedanov Alexei
    • Journal Title

      The Ramanujan Journal

      Volume: 2021 Issue: 1 Pages: 7-29

    • DOI

      10.1007/s11139-020-00383-7

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type2020

    • Author(s)
      Tsujimoto Satoshi、Vinet Luc、Zhedanov Alexei
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 149 Issue: 2 Pages: 715-728

    • DOI

      10.1090/proc/15225

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] DYNAMICS OF THE BOX-BALL SYSTEM WITH RANDOM INITIAL CONDITIONS VIA PITMAN’S TRANSFORMATION2020

    • Author(s)
      D.Croydon, T.Kato, M.Sasada and S.Tsujimoto
    • Journal Title

      Memoir of AMS (accepted)

      Volume: 1 Pages: 1-89

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K18725
  • [Journal Article] The Heun-Racah and Heun-Bannai-Ito algebras2020

    • Author(s)
      Bergeron Geoffroy、Crampe Nicolas、Tsujimoto Satoshi、Vinet Luc、Zhedanov Alexei
    • Journal Title

      Journal of Mathematical Physics

      Volume: 61 Issue: 8 Pages: 081701-081701

    • DOI

      10.1063/5.0008372

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] Dynamics of the ultra-discrete Toda lattice via Pitman’s transformation2020

    • Author(s)
      Croydon David A, Sasada Makiko, Tsujimoto Satoshi
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B78 Pages: 233-248

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] Degenerate Sklyanin algebras, Askey-Wilson polynomials and Heun operators2020

    • Author(s)
      Gaboriaud Julien、Tsujimoto Satoshi、Vinet Luc、Zhedanov Alexei
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 53 Issue: 44 Pages: 445204-445204

    • DOI

      10.1088/1751-8121/abb340

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] Dynamics of the ultra-discrete Toda lattice via Pitman’s transformation2020

    • Author(s)
      D. A. Croydon, S. Makiko, S. Tsujimoto
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: 78 Pages: 235-250

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] Exceptional Bannai-Ito polynomials2019

    • Author(s)
      Yu Luo and Satoshi Tsujimoto
    • Journal Title

      Journal of Approximation Theory

      Volume: 239 Pages: 144-173

    • DOI

      10.1016/j.jat.2018.12.003

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Journal Article] Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle2019

    • Author(s)
      Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
    • Journal Title

      Constructive Approximation

      Volume: 印刷中

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Journal Article] Dynamics of the box-ball system with random initial conditions via Pitman’s transformation2019

    • Author(s)
      D. A. Croydon, S. Makiko, T. Kato, S. Tsujimoto
    • Journal Title

      Memoirs of the AMS

      Volume: -

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19H01792
  • [Journal Article] DYNAMICS OF THE BOX-BALL SYSTEM WITH RANDOM INITIAL CONDITIONS VIA PITMAN’S TRANSFORMATION2018

    • Author(s)
      D.Croydon, T.Kato, M.Sasada and S.Tsujimoto
    • Journal Title

      arXiv

      Volume: 1806.02147v1 Pages: 1-89

    • Data Source
      KAKENHI-PROJECT-17K18725
  • [Journal Article] Generating functions for the Bannai-Ito polynomials2018

    • Author(s)
      Geoffroy Bergeron, Luc Vinet and Satoshi Tsujimoto
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 146 Issue: 12 Pages: 5077-5090

    • DOI

      10.1090/proc/14158

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Journal Article] Linearization of the box-ball system: an elementary approach2018

    • Author(s)
      Saburo Kakei, Jonathan J.C. Nimmo, Satoshi Tsujimoto, Ralph Willox
    • Journal Title

      Journal of Integrable Systems

      Volume: 3 Issue: 1 Pages: 1-32

    • DOI

      10.1093/integr/xyy002

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05184, KAKENHI-PROJECT-16K13761, KAKENHI-PROJECT-15K04893
  • [Journal Article] Symmetric abstract hypergeometric polynomials2018

    • Author(s)
      Satoshi Tsujimoto, Luc Vinet, Guo-Fu Yu, Alexei Zhedanov
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 458 Issue: 1 Pages: 742-754

    • DOI

      10.1016/j.jmaa.2017.09.033

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Journal Article] Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials2017

    • Author(s)
      Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 50 Issue: 23 Pages: 235202-235202

    • DOI

      10.1088/1751-8121/aa6f3a

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Journal Article] 新しい箱玉系のルールとその解析2017

    • Author(s)
      辻本 諭
    • Journal Title

      応用力学研究所研究集会報告

      Volume: 印刷中

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Journal Article] Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials,2017

    • Author(s)
      Vincent X. Genest, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 450 Issue: 2 Pages: 915-928

    • DOI

      10.1016/j.jmaa.2017.01.056

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Journal Article] A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system2016

    • Author(s)
      K. Maeda and S. Tsujimoto
    • Journal Title

      Journal of Computational and Applied Mathematics

      Volume: 300 Pages: 134-154

    • DOI

      10.1016/j.cam.2015.12.032

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400110
  • [Journal Article] The Bannai-Ito algebra and some applications2015

    • Author(s)
      H. Bie, V. Genest, S. Tsujimoto, L. Vinet and A. Zhedanov
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 597 Pages: 12001-12001

    • DOI

      10.1088/1742-6596/597/1/012001

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400110
  • [Journal Article] A new recurrence formula for generic exceptional orthogonal polynomials2015

    • Author(s)
      Hiroshi Miki, Satoshi Tsujimoto
    • Journal Title

      J. Math. Phys.

      Volume: 56 Issue: 3 Pages: 033502-033502

    • DOI

      10.1063/1.4914334

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400110
  • [Journal Article] Direct Connection between the R_<11> Chain and the Nonautonomous Discrete Modified KdV Lattice2013

    • Author(s)
      Kazuki Maeda and Satoshi Tsujimoto
    • Journal Title

      SIGMA

      Volume: 9

    • DOI

      10.3842/sigma.2013.073

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-11J04105, KAKENHI-PROJECT-25400110
  • [Journal Article] Construction of the exceptional orthogonal polynomials and its application to the superintegrable system2013

    • Author(s)
      S. Tsujimoto
    • Journal Title

      RIMS Kôkyûroku Bessatsu

      Volume: B41 Pages: 181-205

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400110
  • [Journal Article] 直交多項式理論からみえてくる可積分系2013

    • Author(s)
      前田一貴, 三木啓司, 辻本 諭
    • Journal Title

      日本応用数理学会論文誌

      Volume: 23 Pages: 341-380

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400110
  • [Journal Article] Pade interpolation for elliptic Painleve equation2013

    • Author(s)
      M.Noumi, S.Tsujimoto and Y.Yamada
    • Journal Title

      Springer Proceedings in Mathematics and Statistics

      Volume: 40 Pages: 463-482

    • DOI

      10.1007/978-1-4471-4863-0_18

    • ISBN
      9781447148623, 9781447148630
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21340036, KAKENHI-PROJECT-22540224
  • [Journal Article] "Classical'' polynomials beyond the Leonard duality2012

    • Author(s)
      Satoshi Tsujimoto, Luc Vinet and Alexei Zhedanov, Dual -1 Hahn polynomials
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 141 Issue: 3 Pages: 959-970

    • DOI

      10.1090/s0002-9939-2012-11469-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Dunkl shift operators and Bannai-Ito polynomials2012

    • Author(s)
      Satoshi Tsujimoto, Luc Vinet and Alexei Zhedanov
    • Journal Title

      Advances in Mathematics

      Volume: 229 Issue: 4 Pages: 2123-2158

    • DOI

      10.1016/j.aim.2011.12.020

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Pade interpolation for elliptic Painleve equation2012

    • Author(s)
      M.Noumi, S.Tsujimoto, Y.Yamada
    • Journal Title

      Proceedings of the international workshop "Infinite Analysis 11"

      Volume: (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Analytic relation on partial differential equations2012

    • Author(s)
      T.Kato and S.Tsujimoto (T.Kato)
    • Journal Title

      Journal of Mathematics Research

      Volume: 4-4 Issue: 4 Pages: 125-139

    • DOI

      10.5539/jmr.v4n4p125

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540080, KAKENHI-PROJECT-22540224
  • [Journal Article] An Algebraic model for the multiple Meixner polynomials of the first kind2012

    • Author(s)
      Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
    • Journal Title

      Journal of Physics A

      Volume: 45 Issue: 32 Pages: 11-11

    • DOI

      10.1088/1751-8113/45/32/325205

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-10J03343, KAKENHI-PROJECT-22540224
  • [Journal Article] Quantum-state transfer in a two-dimensional regular spin lattice of triangular shape2012

    • Author(s)
      Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
    • Journal Title

      Physical Review A

      Volume: 85 Issue: 6 Pages: 4-4

    • DOI

      10.1103/physreva.85.062306

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-10J03343, KAKENHI-PROJECT-22540224
  • [Journal Article] -1 Hahn polynomials : "Classical" polynomials beyond the Leonard dua2012

    • Author(s)
      Tsujimoto, Luc Vinet, A.Zhedano
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: (掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Discrete Spectral Transformations of Skew Orthogonal Polynomials and Associated Discrete Integrable Systems2012

    • Author(s)
      H.Miki, H.Goda, S.Tsujimoto
    • Journal Title

      SIGMA

      Volume: 8 Pages: 1-14

    • DOI

      10.3842/sigma.2012.008

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-10J03343, KAKENHI-PROJECT-22540224
  • [Journal Article] Families of superintegrable Hamiltonians constructed from exceptional polynomials2012

    • Author(s)
      Sarah Post, Satoshi Tsujimoto and Luc Vinet
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical

      Volume: 45 Issue: 40 Pages: 10-10

    • DOI

      10.1088/1751-8113/45/40/405202

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Cauchy biorthogonal polynomials and discrete integrable systems2011

    • Author(s)
      Hiroshi Miki and Satoshi Tsujimoto
    • Journal Title

      Journal of Nonlinear Systems and Applications

      Volume: 2 Pages: 195-199

    • URL

      http://jnsaonline.watsci.org/fulltext_pdf/2011v2/v2n3-pdf/8.pdf

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Jordan algebras and orthogonal polynomials2011

    • Author(s)
      Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
    • Journal Title

      Journal of Mathematical Physics

      Volume: 52 Issue: 10 Pages: 8-8

    • DOI

      10.1063/1.3653482

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] From slq(2) to a parabosonic Hopf algebra2011

    • Author(s)
      Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
    • Journal Title

      SIGMA

      Volume: 7 Pages: 13-13

    • DOI

      10.3842/sigma.2011.093

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations2010

    • Author(s)
      R.Sasaki, S.Tsujimoto, A.Zhedanov
    • Journal Title

      Journal of Physics A : Mathematical and theoretical

      Volume: 43

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20246027
  • [Journal Article] Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations2010

    • Author(s)
      Ryu Sasaki, Satoshi Tsujimoto and Alexei Zhedanov
    • Journal Title

      Journal of Physics A: Mathematical and General

      Volume: 43 Issue: 31 Pages: 20-20

    • DOI

      10.1088/1751-8113/43/31/315204

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations2010

    • Author(s)
      Ryu Sasaki, Satoshi Tsujimoto, Alexei Zhedanov
    • Journal Title

      Journal of Physics A : Mathematical and Generall

      Volume: 43

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice2010

    • Author(s)
      Kazuki Maeda and Satoshi Tsujimoto
    • Journal Title

      JSIAM Letters

      Volume: 2 Pages: 95-98

    • NAID

      130000433639

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Journal Article] Determinant solutions of the nonautonmous discrete Toda equation associated with the deautonomized discrete KP2010

    • Author(s)
      S.Tsujimoto
    • Journal Title

      Journal of Systems Science and Complexity 23

      Pages: 153-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy2010

    • Author(s)
      S. Tsujimoto
    • Journal Title

      Journal of Systems Science and Complexity Vol.23

      Pages: 153-176

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy2009

    • Author(s)
      S. Tsujimoto and A. Zhedanov
    • Journal Title

      Journal of Systems Science and Complexity Vol.5, 033

      Pages: 30-30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the unit circle2009

    • Author(s)
      S. Tsujimoto, A. Zhedanov
    • Journal Title

      Symmetry, Integrability and Geometry : Methods and Applications 5

      Pages: 33-30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Elliptic hypergeometric Laurent biorthogonal polynomials with a dense point spectrum on the univ circle2009

    • Author(s)
      S. Tsujimoto, A. Zhedanov
    • Journal Title

      SIGMA Vol.5

      Pages: 033-30

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials2007

    • Author(s)
      V.P. Spiridonov, S. Tsujimoto, A. Zhedanov
    • Journal Title

      Communications in Mathematical Physics Vol.272

      Pages: 139-165

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials2007

    • Author(s)
      V. P. Spiridonov, S. Tsujimoto and A. Zhedanov
    • Journal Title

      Communications in Mathematical Physics Vol.272

      Pages: 139-165

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] A difference analogue of the Davey-Stewartson system: discrete Gram-type determinant solution and Lax pair2007

    • Author(s)
      Gegenhasi, X-B Hu, D. Levi and S. Tsujimoto
    • Journal Title

      Journal of Physics A: Mathematical and Theoretical 40

      Pages: 12741-12751

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials2007

    • Author(s)
      V. P. Spiridonov, S. Tsujimoto, A. Zhedanov
    • Journal Title

      Communications in Mathematical Physics 272

      Pages: 139-165

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Determinant structure of non-autonomous loda-type integrable systems2006

    • Author(s)
      A.Mukaihira, S.Tsujimoto
    • Journal Title

      J. Phys. A, Math. Gen. 39巻

      Pages: 779-788

    • Data Source
      KAKENHI-PROJECT-15340030
  • [Journal Article] Determinant structure of non-autonomous Toda-type integrable systems2006

    • Author(s)
      A.Mukaihira, S.Tsujimoto
    • Journal Title

      J. Phys. A, Math. Gen. 39巻

      Pages: 779-788

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340030
  • [Journal Article] Determinant structure of non-autonomous Toda-type integrable systems2006

    • Author(s)
      A.Mukaihira, S.Tsujimoto
    • Journal Title

      Journal of Physics A : Mathematical and General Vol.39

      Pages: 779-788

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540119
  • [Journal Article] Determinant structure of non-autonomous Toda-type integrable systems2006

    • Author(s)
      A.Mukaihira, S.Tsujimoto
    • Journal Title

      J. Phys. A, Math. Gen. Vol.39

      Pages: 779-788

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340030
  • [Journal Article] Determinant structure of non-autonomous Toda-type integrable systems2006

    • Author(s)
      A.Mukaihira, S.Tsujimoto
    • Journal Title

      J.Phys.A : Math.Gen. 39

      Pages: 779-788

    • Data Source
      KAKENHI-PROJECT-15540119
  • [Journal Article] Some aspects of the Toda molecule2005

    • Author(s)
      M.Nishizawa, Y.Ohta, S.Tsujimoto
    • Journal Title

      Glasgow Mathematical Journal Vol.47A

      Pages: 169-176

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540119
  • [Journal Article] Some Aspects of the Toda Molecule2005

    • Author(s)
      M.Nishizawa, Y.Ohta, S.Tsujimoto
    • Journal Title

      Glasgow Math.J. 47A巻

      Pages: 169-176

    • Data Source
      KAKENHI-PROJECT-15340030
  • [Journal Article] 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2005

    • Author(s)
      木村欣司, 野呂正行, 辻本諭, 中村佳正
    • Journal Title

      日本応用数理学会論文誌 15巻,No.3

      Pages: 307-322

    • Data Source
      KAKENHI-PROJECT-15340030
  • [Journal Article] Determinant structure of RI type discrete integrable system2004

    • Author(s)
      A.Mukaihira, S.Tsujimoto
    • Journal Title

      J.Phys.A : Math.Gen. Vol.37,No.16

      Pages: 4557-4565

    • Data Source
      KAKENHI-PROJECT-15340030
  • [Journal Article] Determinant structure of R_1 type discrete integrable system2004

    • Author(s)
      A.Mukaihira, S.Tsujimoto
    • Journal Title

      Journal of Physics A: Mathematical and General Vol.37

      Pages: 4557-4565

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15540119
  • [Journal Article] Determinant structure of R_1 type discrete integrable system2004

    • Author(s)
      A.Mukaihira, S.Tsujimoto
    • Journal Title

      Journal of Physics A : Mathematical and General Vol.37, No.16

      Pages: 4557-4565

    • Data Source
      KAKENHI-PROJECT-15540119
  • [Journal Article] Determinant structure of R_1 type discrete integrable system2004

    • Author(s)
      A.Mukaihira, S.Tsujimoto
    • Journal Title

      Journal of Physics A : Mathematical and General Vol.37,No.16

      Pages: 4557-4565

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15540119
  • [Journal Article] Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP hierarchy

    • Author(s)
      S. Tsujimoto
    • Journal Title

      Journal of Systems Science and Complexity (To appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Integrable discrete time chains for the Frobenius-Stickelberger-Thiele polynomials

    • Author(s)
      V.P.Spiridonov, S.Tsujimoto, A.Zhedanov
    • Journal Title

      Communications in Mathematical Physics (To appear)

    • Data Source
      KAKENHI-PROJECT-18540214
  • [Journal Article] Determinant solutions of the nonautonomous discrete Toda equation associated with the deautonomized discrete KP

    • Author(s)
      S. Tsujimoto
    • Journal Title

      Journal of Systems Science and Complexity (To appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Presentation] Dynamics of the box-ball system with random initial conditions2019

    • Author(s)
      S. Tsujimoto
    • Organizer
      9th International Congress on Industrial and Applied Mathematics, (Valencia, Spain
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K18725
  • [Presentation] DAHA代数と単位円周上の直交多項式2018

    • Author(s)
      辻本 諭
    • Organizer
      日本応用数理学会
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Presentation] q 変形振動子代数と Askey-Wilson 多項式2017

    • Author(s)
      辻本 諭
    • Organizer
      日本応用数理学会
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Presentation] Spectral analysis of transition operators, automata groups and translation in BBS2016

    • Author(s)
      Satoshi Tsujimoto
    • Organizer
      China-Japan Joint Workshop On Integrable Systems
    • Place of Presentation
      Xi'an, China
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K13761
  • [Presentation] 例外型Bannai-Ito多項式2015

    • Author(s)
      辻本 諭
    • Organizer
      日本数学会
    • Place of Presentation
      京都産業大学 (京都府、京都市)
    • Year and Date
      2015-09-14
    • Data Source
      KAKENHI-PROJECT-25400110
  • [Presentation] A systematic construction of the exceptional orthogonal polynomials2013

    • Author(s)
      S. Tsujimoto
    • Organizer
      The XXInd International Conference on Integrable Systems and Quantum symmetries
    • Place of Presentation
      Prague, Czech
    • Data Source
      KAKENHI-PROJECT-25400110
  • [Presentation] 例外型Krawtchouk 多項式について2011

    • Author(s)
      柴田洋平, 三木啓司, 辻本 諭
    • Organizer
      日本応用数理学会
    • Place of Presentation
      電気通信大学 (東京都)
    • Year and Date
      2011-03-07
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Presentation] 例外型Krawtchouk多項式について2011

    • Author(s)
      柴田洋平, 三木啓司, 辻本諭
    • Organizer
      日本応用数理学会
    • Place of Presentation
      電気通信大学(東京都)
    • Year and Date
      2011-03-07
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Presentation] Cauchy双直交多項式に付随する非線形方程式2010

    • Author(s)
      三木啓司, 辻本諭
    • Organizer
      日本応用数理学会
    • Place of Presentation
      明治大学(東京都)
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Presentation] 箱玉系の箱容量拡張と有限戸田格子2010

    • Author(s)
      前田 一貴, 辻本 諭
    • Organizer
      日本応用数理学会
    • Place of Presentation
      明治大学 (東京都)
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Presentation] 例外型 Jacobi 多項式の漸化式について2010

    • Author(s)
      辻本 諭
    • Organizer
      日本数学会
    • Place of Presentation
      名古屋大学 (愛知県)
    • Year and Date
      2010-09-24
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Presentation] Cauchy 双直交多項式に付随する非線形方程式2010

    • Author(s)
      三木 啓司, 辻本 諭
    • Organizer
      日本応用数理学会
    • Place of Presentation
      明治大学(東京都)
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Presentation] 例外型Jacobi多項式の漸化式について2010

    • Author(s)
      辻本諭
    • Organizer
      日本数学会
    • Place of Presentation
      名古屋大学(愛知県)
    • Year and Date
      2010-09-24
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Presentation] 箱玉系の箱容量拡張と有限戸田格子2010

    • Author(s)
      前田一貴, 辻本諭
    • Organizer
      日本応用数理学会
    • Place of Presentation
      明治大学(東京都)
    • Year and Date
      2010-09-08
    • Data Source
      KAKENHI-PROJECT-22540224
  • [Presentation] 歪直交多項式のスペクトル変形2009

    • Author(s)
      三木啓司, 辻本諭
    • Organizer
      日本応用数理学会
    • Place of Presentation
      京都大学
    • Year and Date
      2009-03-08
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Presentation] On the discrete coupled KP equation2008

    • Author(s)
      S. Tsujimoto
    • Organizer
      7-th AIMS International Conference
    • Place of Presentation
      USA
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Presentation] Discrete KP equation with self-consistent sourcesのグラム型解について2007

    • Author(s)
      渡邊隆信、辻本諭
    • Organizer
      日本応用数理学会
    • Place of Presentation
      北海道大学
    • Year and Date
      2007-09-15
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Presentation] On Hankel determinant formulas of the nonautonomous discrete Toda and Lotka-Volterra equations2006

    • Author(s)
      S. Tsujimoto and Y. Matsui
    • Organizer
      SIAM Conference on Nonlinear Waves and Coherent Structures
    • Place of Presentation
      USA
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Presentation] On Hankel determinan formulas of the nonautonomous discrete Toda and Lotka-Volterra equations2006

    • Author(s)
      S. Tsujimoto, Y. Matsui
    • Organizer
      SIAM Conference on Nonlinear Waves and Coherence Structures
    • Place of Presentation
      USA
    • Data Source
      KAKENHI-PROJECT-18540214
  • [Presentation] On the exceptional Bannai-Ito polynomials

    • Author(s)
      Satoshi Tsujimoto
    • Organizer
      CRM-ICMAT Workshop on Exceptional Orthogonal polynomials and exact solutions in Mathematical Physics
    • Place of Presentation
      Segovia, Spain
    • Year and Date
      2014-09-07 – 2014-09-12
    • Data Source
      KAKENHI-PROJECT-25400110
  • 1.  NAKAMURA Yoshimasa (50172458)
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  • 2.  KATO Tsuyoshi (20273427)
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  • 12.  YAMAMOTO Yusaku (20362288)
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  • 19.  EGUCHI Shinto (10168776)
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  • 20.  OHARA Atsumi (90221168)
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  • 21.  MINESAKI Yokitaka (70378834)
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  • 22.  岸本 大祐 (60402765)
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  • 23.  Croydon David (50824182)
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  • 24.  須田 颯 (80912386)
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  • 25.  山田 泰彦
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  • 26.  野海 正俊
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  • 27.  筧 三郎
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