辻本 諭 准教授

京都大学大学院情報学研究科
数理工学専攻
〒606-8501 京都市左京区吉田本町

e-mail: tujimoto _at_ i.kyoto-u.ac.jp

オフィス：総合研究10号館3階316号室

講義について

学部講義
大学院講義

研究活動

研究会
  • 13TH International Conference on Symmetries and Integrablity of Difference Equations
    SIDE13 Conference HP
  • 平成２９年度九州大学応力研共同利用研究集会「非線形波動研究の新潮流 ー理論とその応用ー」
    研究集会HP
  • 平成２８年度九州大学応力研共同利用研究集会「非線形波動研究の深化と展開」
    研究集会HP
研究テーマ
  • 直交多項式および特殊関数の理論
  • 離散可積分系の数理
  • オートマトンの理論
  • 数値計算アルゴリズムの開発
研究分野の紹介
投稿中の論文
    最近の論文
    • Satoshi Tsujimoto, Luc Vinet, Guo-Fu Yu, Alexei Zhedanov: Symmetric abstract hypergeometric polynomials, to appear in Journal of Mathematical Analysis and Applications, arXiv:1701.04179 [math.CA]
    • Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Tridiagonal representations of the q-oscillator algebra and Askey-Wilson polynomials, Journal of Physics A: Mathematical and Theoretical 50, 235292(15pp) (2017), arXiv:1612.04038 [math-ph]
    • Vincent X. Genest, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials, Journal of Mathematical Analysis and Applications 450, pp.915-928 (2017), arXiv:1605.00708 [math.CA]
    • Tsuyoshi Kato, Satoshi Tsujimoto, Andrzej Zuk: Spectral analysis of transition operators, Automata groups and translation in BBS, Communications in Mathematical Physics 350, pp.205-229 (2017), arXiv:1406.5557 [math.SP]
    • Kazuki Maeda, Satoshi Tsujimoto: A generalized eigenvalue algorithm for tridiagonal matrix pencils based on a nonautonomous discrete integrable system, Journal of Computational and Applied Mathematics 300, pp.134-154 (2016)
    • Hendrik De Bie, Vincent X. Genest, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: The Bannai-Ito algebra and some applications, Journal of Physics: Conference Series 597, conference 1, 12001 (2015)
    • Hiroshi Miki, Satoshi Tsujimoto: A new recurrence formula for generic exceptional orthogonal polynomials, Journal of Mathematical Physics 56, 033502 (2015)
    • Maxim Derevyagin, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Bannai-Ito polynomials and dressing chains, Proceedings of the American Mathematical Society 142, pp.4191-4206 (2014)
    • Satoshi Tsujimoto, Tsuyoshi Kato, Andrzej Zuk: Automata groups and box-ball systems (オートマタ群と箱玉系), RIMS Kôkyûroku Bessatsu B47, pp.163-170 (2014)
    • Kazuki Maeda, Satoshi Tsujimoto: Direct connection between the RII chain and the nonautonomous discrete modified KdV lattice, Symmetry, Integrability and Geometry: Methods and Applications 9, 073 (2013)
    • Maxim Derevyagin, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov, Bannai-Ito polynomials and dressing chains, to appear in Proceedings of the American Mathematical Society.
    • 前田一貴, 三木啓司, 辻本 諭: 直交多項式理論からみえてくる可積分系, 日本応用数理学会論文誌 23, pp.341-380 (2013)
    • Satoshi Tsujimoto: Construction of the exceptional orthogonal polynomials and its application to the superintegrable system, in: The breadth and depth of nonlinear discrete integrable systems, ed. T. Tokihiro, RIMS Kôkyûroku Bessatsu B41, pp.181-205 (2013)
    • Yi He, Xing-Biao Hu, Hon-Wah Tam, Satoshi Tsujimoto: Convergence acceleration algorithms related to a generalized E-transformation and its particular cases, Japan Journal of Industrial and Applied Mathematics 30, pp.263-285 (2013)
    • Masatoshi Noumi, Satoshi Tsujimoto, Yasuhiko Yamada: Pad\'e interpolation for elliptic Painlev\'e equation, in: Symmetries, Integrable Systems and Representations, eds. K. Iohara et al., Springer Proceedings in Mathematics & Statistics 40, pp 463-482 (2013), arXiv:1204.0294v2 [math-ph]
    • Tsuyoshi Kato, Satoshi Tsujimoto: A rough analytic relation on partial differential equations, Journal of Mathematics Research 4, pp 125-139 (2012) arXiv:1004.4981v1 [math.MG]
    • Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: An algebraic model for the multiple Meixner polynomials of the first kind, Journal of Physics A: Mathematical and Theoretical 45, 325205 (2012) arXiv:1203.0357v1 [math-ph]
    • Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Quantum state transfer in a two-dimensional regular spin lattice of triangular shape, Physycal Review A 85, 062306 (2012) arXiv:1203.2128v2 [math-ph]
    • Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Dual -1 Hahn polynomials: ``Classical'' polynomials beyond the Leonard duality,Proceedings of the American Mathematical Society 141, pp.959-970 (2013) arXiv:1108.0132v1 [math.CA]
    • Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Dunkl shift operators and Bannai-Ito polynomials, Advances in Mathematics, Vol.229, pp.2123-2158 (March 2012), arXiv:1106.3512v2 [math.CA]
    • Hiroshi Miki, Hiroaki Goda, Satoshi Tsujimoto: Discrete spectral transformations of skew orthogonal polynomials and associated discrete integrable systems, SIGMA, Vol.8, 008, 14 pages (February 2012), arXiv:1111.7262v2 [math-ph]
    • Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Jordan algebras and orthogonal polynomials, Journal of Mathematical Physics, Vol.52, 103512, 8 pages (October 2011), arXiv:1108.3531v1 [math.CA]
    • Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: From slq(2) to a parabosonic Hopf algebra, SIGMA, Vol.7, 093, 13 pages (October 2011), arXiv:1108.1603v3 [math-ph]
    • Ryu Sasaki, Satoshi Tsujimoto, Alexei Zhedanov: Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum transformations, Journal of Physics A: Mathematical and Theoretical, Vol.43, 315204, 20 pages (August 2010), arXiv:1404.2012 [math-ph]
    • Kazuki Maeda, Satoshi Tsujimoto: Box-ball systems related to the nonautonomous ultradiscrete Toda equation on the finite lattice, JSIAM Letters, Vol.2, pp. 95-98 (October 2010)
    研究助成
    • 科研費挑戦的萌芽研究
    学位
    博士(工学)(早稲田大学)
    所属学会
    日本数学会，日本応用数理学会, 日本物理学会

    教育活動

    担当授業科目 (大学院)
    数理解析特論
    担当授業科目 (学部)
    数理工学概論，工業数学A2，応用代数学

    リンク