50 citations · 177 across the 18 of their papers we have counts for
18 papers
Birational Weyl group actions and q-Painleve equations via mutation combinatorics in cluster algebras
Tetsu Masuda, Naoto Okubo, Teruhisa Tsuda
A cluster algebra is an algebraic structure generated by operations of a quiver (a directed graph) called the mutations and their associated simple birational mappings. By using a…
Discrete Power Functions on a Hexagonal Lattice I: Derivation of defining equations from the symmetry of the Garnier System in two variables
Nalini Joshi, Kenji Kajiwara, Tetsu Masuda +1
The discrete power function on the hexagonal lattice proposed by Bobenko et al is considered, whose defining equations consist of three cross-ratio equations and a similarity const…
Geometric description of discrete power function associated with the sixth Painlevé equation
Nalini Joshi, Kenji Kajiwara, Tetsu Masuda +2
In this paper, we consider the discrete power function associated with the sixth Painlevé equation. This function is a special solution of the so-called cross-ratio equation with a…
An explicit formula for the discrete power function associated with circle patterns of Schramm type
Hisashi Ando, Mike Hay, Kenji Kajiwara +1
We present an explicit formula for the discrete power function introduced by Bobenko, which is expressed in terms of the hypergeometric τfunctions for the sixth Painlevé equation.…
Bilinearization and Special Solutions to the Discrete Schwarzian KdV Equation
Mike Hay, Kenji Kajiwara, Tetsu Masuda
Various solutions to the discrete Schwarzian KdV equation are discussed. We first derive the bilinear difference equations of Hirota type of the discrete Schwarzian KP equation, wh…
Construction of Hypergeometric Solutions to the q-Painlevé Equations
Kenji Kajiwara, Tetsu Masuda, Masatoshi Noumi +2
Hypergeometric solutions to the q-Painlevé equations are constructed by direct linearization of disrcrete Riccati equations. The decoupling factors are explicitly determined so tha…