25 citations · 93 across the 15 of their papers we have counts for
15 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…
Determinant structure for tau-function of holonomic deformation of linear differential equations
Masao Ishikawa, Toshiyuki Mano, Teruhisa Tsuda
In our previous works, a relationship between Hermite's two approximation problems and Schlesinger transformations of linear differential equations has been clarified. In this pape…
Hermite-Pade approximation, isomonodromic deformation and hypergeometric integral
Toshiyuki Mano, Teruhisa Tsuda
We develop an underlying relationship between the theory of rational approximations and that of isomonodromic deformations. We show that a certain duality in Hermite's two approxim…
On a fundamental system of solutions of a certain hypergeometric equation
Teruhisa Tsuda
We study the linear Pfaffian systems satisfied by a certain class of hypergeometric functions, which includes Gauß's , Thomae's and Appell-Lauricella's $…
UC hierarchy and monodromy preserving deformation
Teruhisa Tsuda
The UC hierarchy is an extension of the KP hierarchy, which possesses not only an infinite set of positive time evolutions but also that of negative ones. Through a similarity redu…
Hypergeometric solution of a certain polynomial Hamiltonian system of isomonodromy type
Teruhisa Tsuda
In our previous work, a unified description as polynomial Hamiltonian systems was established for a broad class of the Schlesinger systems including the sixth Painleve equation and…