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: tsujimoto.satoshi.5s _at_ kyoto-u.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
- 著書
- 投稿中の論文
- Pascal Baseilhac, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: The Heun-Askey-Wilson algebra and the Heun operator of Askey-Wilson type. [arXiv]
- David Croydon, Tsuyoshi Kato, Makiko Sasada, Satoshi Tsujimoto: Dynamics of the box-ball system with random initial conditions via Pitman's transformation. [arXiv]
- Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet: Quantum walks on graphs of the ordered 2-Hamming scheme and spin networks. [arXiv]
- Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov: Double affine Hecke algebra of rank 1 and orthogonal polynomials on the unit circle. [arXiv]
- 最近の論文
- Yu Luo, Satoshi Tsujimoto: Exceptional Bannai-Ito polynomials, to appear in "Journal of Approximation Theory".
[doi][arXiv]
- Geoffroy Bergeron, Luc Vinet, Satoshi Tsujimoto: Generating functions for the Bannai-Ito polynomials, to appear in "Proceedings of the American Mathematical Society". [arXiv]
- Saburo Kakei, Jonathan J.C. Nimmo, Satoshi Tsujimoto, Ralph Willox: Linearization of the box-ball system: an elementary approach, Journal of Integrable Systems 3, pp.1-32 (2018). [doi] [arXiv]
- Satoshi Tsujimoto, Luc Vinet, Guo-Fu Yu, Alexei Zhedanov: Symmetric abstract hypergeometric polynomials, Journal of Mathematical Analysis and Applications 458, pp.742-754 (2018). [doi] [arXiv]
- 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). [doi] [arXiv]
- 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]
- 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]
- 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).
- 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]
- Tsuyoshi Kato, Satoshi Tsujimoto:
A rough analytic relation on partial differential equations, Journal of Mathematics Research 4, pp 125-139 (2012).
[arXiv]
- 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]
- 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]
- 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]
- Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov:
Dunkl shift operators and Bannai-Ito polynomials,
Advances in Mathematics, Vol.229, pp.2123-2158 (March 2012). [arXiv]
- 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]
- Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov:
Jordan algebras and orthogonal polynomials,
Journal of Mathematical Physics, Vol.52, 103512, 8 pages (October 2011). [arXiv]
- Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov:
From slq(2) to a parabosonic Hopf algebra,
SIGMA, Vol.7, 093, 13 pages (October 2011). [arXiv]
- 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]
- 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
- 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)
- 工業数学A2,応用代数学
リンク