20 citations · 35 across the 6 of their papers we have counts for
6 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…
Generalized -Painlevé VI systems of type arising from cluster algebra
Naoto Okubo, Takao Suzuki
In this article we formulate a group of birational transformations which is isomorphic to an extended affine Weyl group of type with the aid of mutations…
Toda type equations over multi-dimensional lattices
Ryo Kamiya, Masataka Kanki, Takafumi Mase +2
We introduce a class of recursions defined over the -dimensional integer lattice. The discrete equations we study are interpreted as higher dimensional extensions to the discret…
Co-primeness preserving higher dimensional extension of -discrete Painlevé I, II equations
Naoto Okubo
We construct the -discrete Painlevé I and II equations and their higher order analogues by virtue of periodic cluster algebras. Using particular exchange matrices,…
Laurent phenomenon algebras and the discrete BKP equation
Naoto Okubo
We construct the Laurent phenomenon algebras the cluster variables of which satisfy the discrete BKP equation and other difference equations obtained by its reduction. These Lauren…
Bilinear equations and -discrete Painlevé equations satisfied by variables and coefficients in cluster algebras
Naoto Okubo
We construct cluster algebras the variables and coefficients of which satisfy the discrete mKdV equation, the discrete Toda equation and other integrable bilinear equations, severa…