No.1005

1996/07/29〜1996/07/31

永友 清和

Kiyokazu Nagatomo

目　次

1. Toda-type Cellular Automaton and its $N$-soliton Solution(Discretizations of Integrable Systems : Theory and Applications)--------1

　　　　Department of Applied Mathematics and Informatics, Ryukoku University / Graduate School of Mathematical Sciences, University of Tokyo / Department of Applied Mathematics and Informatics, Ryukoku University / Graduate School of Mathematical Sciences, University of Tokyo / Graduate School of Mathematical Sciences, University of Tokyo　　　Matsukidaira,J. / Satsuma,J. / Takahashi,D. / Tokihiro,T. / Torii,M.

　

2. Two-dimensional Toda cellular automaton(Discretizations of Integrable Systems : Theory and Applications)-------------------------16

　　　　Graduate School of Mathematical Sciences, University of Tokyo　　　時弘 哲治　(TOKIHIRO,Tetsuji)

　

3. Conserved Quantities of "Random-Time Toda Equation"(Discretizations of Integrable Systems : Theory and Applications)-------------22

　　　　Department of Information and Computer Science, School of Science and Engineering, Waseda University　　　広田 良吾　(HIROTA,Ryogo)

　

4. 離散ソリトン方程式における解の構造-----------------------------------------------------------------------------------------------28

　　　　早稲田大学理工学部情報学科　　　辻本 諭　(TSUJIMOTO,Satoshi)

　

5. Virasoro-type Symmetries in Solvable Models(Discretizations of Integrable Systems : Theory and Applications)---------------------37

　　　　James Frank Institute and Enrico Fermi Institute, University of Chicago / Department of Physics, Faculty of Science, University of Tokyo / Department of Physics, Faculty of Science, Shinshu University / Institute for Solid State Physics, University of Tokyo　　　AWATA,HIDETOSHI / KUBO,HARUNOBU / ODAKE,SATORU / SHIRAISHI,JUN'ICHI

　

6. $1/r^2$ 型相互作用模型の周辺-----------------------------------------------------------------------------------------------------72

　　　　東京大学数理科学研究科　　　筧 三郎

　

7. Quantum Knizhnik-Zamolodchikov equations and Macdonald's eigenvalue problems(Discretizations of Integrable Systems : Theory and Applications)---95

　　　　九州大学大学院数理学研究院　　　三町 勝久　(Mimachi, Katsuhisa)

　

8. Macdonald 対称多項式の昇降演算子------------------------------------------------------------------------------------------------103

　　　　神戸大学理学部　　　野海 正俊

　

9. 積分不可能系の離散化 : 非平衡統計力学的側面と計算論的側面-----------------------------------------------------------------------119

　　　　理化学研究所国際フロンティア研究システム　　　梅野 健

　

10. 離散時間可積分系と数値計算法---------------------------------------------------------------------------------------------------132

　　　　大阪大学基礎工学研究科　　　中村 佳正　(Nakamura,Yoshimasa)