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論文リスト
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Hypergeometric solution of a certain polynomial Hamiltonian system of isomonodromy type
Quart. J. Math., in press. (Preprint: arXiv:1005.4130)
UC hierarchy and monodromy preserving deformation
submitted. (Preprint: MI2010-7; available also from arXiv:1007.3450)
Projective reduction of the discrete Painlevé system of type A2 + A1 (with K. Kajiwara and N. Nakazono)
Int. Math. Res. Not. 2010 (2010), rnq089
From KP/UC hierarchies to Painlevé equations
submitted. (Preprint: arXiv:1004.1347)
Constructing two-dimensional integrable mappings that possess invariants of high degree (with J. Matsukidaira, A. Nobe and H. Tanaka)
RIMS Koukyuroku Bessatsu B13 (2009), 75--84
Ultradiscretization of a solvable two-dimensional chaotic map assciated with the Hesse cubic curve (with K. Kajiwara, M. Kaneko and A. Nobe)
Kyushu J. Math. 63 (2009), 315--338
On an integrable system of q-difference equations satisfied by the universal characters: its Lax formalism and an application to q-Painlevé equations
Comm. Math. Phys. 293 (2010), 347--359
A geometric approach to tau-functions of difference Painlevé equations
Lett. Math. Phys. 85 (2008), 65--78
Ultradiscretization of solvable one-dimensional chaotic maps (with K. Kajiwara and A. Nobe)
J. Phys. A: Math. Theor. 41 (2008), 395202 (13pp)
A class of integrable and nonintegrable mappings and their dynamics (with B. Grammaticos, A. Ramani and T. Takenawa)
Lett. Math. Phys. 82 (2007), 39--49
Tropical representation of Weyl groups associated with certain rational varieties (with T. Takenawa)
Adv. Math. 221 (2009), 936--954
Tropical Weyl group action via point configurations and tau-functions of the q-Painlevé equations
Lett. Math. Phys. 77 (2006), 21--30
Tau functions of q-Painlevé III and IV equations
Lett. Math. Phys. 75 (2006), 39--47
Universal character and q-difference Painlevé equations
Math. Ann. 345 (2009), 395--415
q-Painlevé VI equation arising from q-UC hierarchy (with T. Masuda)
Comm. Math. Phys. 262 (2006), 595--609
Universal characters and q-Painlevé systems
Comm. Math. Phys. 260 (2005), 59--73
Universal characters, integrable chains and the Painlevé equations
Adv. Math. 197 (2005), 587--606
Tau functions of the fourth Painlevé equation in two variables
Funkcial. Ekvac. 48 (2005), 137--145
Folding transformations of the Painlevé equations (with K. Okamoto and H. Sakai)
Math. Ann. 331 (2005), 713--738
Integrable mappings via rational elliptic surfaces
J. Phys. A: Math. Gen. 37 (2004), 2721--30
Rational solutions of the Garnier system in terms of Schur polynomials
Int. Math. Res. Not. 2003 (2003), 2341--58
Universal characters and an extension of the KP hierarchy
Comm. Math. Phys. 248 (2004), 501--526
Toda equation and special polynomials associated with the Garnier system
Adv. Math. 206 (2006), 657--683
Birational symmetries, Hirota bilinear forms and special solutions of the Garnier systems in 2-variables
J. Math. Sci. Univ. Tokyo. 10 (2003), 355--371
非線形波動から無限の対称性へ
数理科学 559 (2010), 36--42
普遍指標と q-パンルヴェ方程式
数理解析研究所講究録 1473 (2006), 1--14
普遍指標に付随する無限可積分系とパンルヴェ方程式
九州大学応用力学研究所研究集会報告 16ME-S1 (2005), 128--136
Integrable mapping via rational elliptic surfaces
数理解析研究所講究録 1400 (2004), 31--38
普遍指標多項式とKP階層の拡張
数理解析研究所講究録 1310 (2003), 54--64
ガルニエ系に付随する戸田方程式および特殊多項式
数理解析研究所講究録 1296 (2002), 128--136
ガルニエ系の階層構造と対称性
数理解析研究所講究録 1203 (2001), 57--70
2変数ガルニエ系の双線形形式について
Rokko Lectures in Mathematics 7 (2000), 173--182, 神戸大学数学教室
Universal characters and Integrable systems
平成14年度 東京大学 博士論文 (数理科学)
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Abstruct
tudateru@poisson.ms.u-tokyo.ac.jp