11 citations · 33 across the 6 of their papers we have counts for
6 papers
Ultradiscretization of a solvable two-dimensional chaotic map associated with the Hesse cubic curve
Kenji Kajiwara, Masanobu Kaneko, Atsushi Nobe +1
We present a solvable two-dimensional piecewise linear chaotic map which arises from the duplication map of a certain tropical cubic curve. Its general solution is constructed by m…
Universal character and q-difference Painlevé equations with affine Weyl groups
Teruhisa Tsuda
The universal character is a polynomial attached to a pair of partitions and is a generalization of the Schur polynomial. In this paper, we introduce an integrable system of q-diff…
A geometric approach to tau-functions of difference Painlevé equations
Teruhisa Tsuda
We present a unified description of birational representation of Weyl groups associated with T-shaped Dynkin diagrams, by using a particular configuration of points in the projecti…
Ultradiscretization of solvable one-dimensional chaotic maps
Kenji Kajiwara, Atsushi Nobe, Teruhisa Tsuda
We consider the ultradiscretization of a solvable one-dimensional chaotic map which arises from the duplication formula of the elliptic functions. It is shown that ultradiscrete li…
Tropical representation of Weyl groups associated with certain rational varieties
Teruhisa Tsuda, Tomoyuki Takenawa
Starting from certain rational varieties blown-up from (P^1)^N, we construct a tropical, i.e., subtraction-free birational, representation of Weyl groups as a group of pseudo isomo…
Toda equation and special polynomials associated with the Garnier system
Teruhisa Tsuda
We prove that a certain sequence of tau functions of the Garnier system satisfies Toda equation. We construct a class of algebraic solutions of the system by the use of Toda equati…