11 citations · 33 across the 6 of their papers we have counts for
4 papers · 1 filter
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…
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…