18 citations · 128 across the 23 of their papers we have counts for
24 papers
Several results on the almost good reduction property to the -discrete Painlevé equations over the field of -adic numbers
Masataka Kanki
We report on the recent results in the theory of discrete integrable equations reduced modulo a prime number based on the previous results. This article mainly concerns the …
Coprimeness-preserving discrete KdV type equation on an arbitrary dimensional lattice
Ryo Kamiya, Masataka Kanki, Takafumi Mase +1
We introduce an equation defined on a multi-dimensional lattice, which can be considered as an extension to the coprimeness-preserving discrete KdV like equation in our previous pa…
Algebraic entropy of a multi-term recurrence of the Hietarinta-Viallet type
Ryo Kamiya, Masataka Kanki, Takafumi Mase +1
We introduce a family of extensions of the Hietarinta-Viallet equation to a multi-term recurrence relation via a reduction from the coprimeness-preserving extension to the discrete…
On the Coprimeness Property of Discrete Systems without the Irreducibility Condition
Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro
In this article we investigate the coprimeness properties of one and two-dimensional discrete equations, in a situation where the equations are decomposable into several factors of…
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…
A two dimensional lattice equation as an extension of the Heideman-Hogan recurrence
Ryo Kamiya, Masataka Kanki, Takafumi Mase +1
We consider a two dimensional extension of the so-called linearizable mappings. In particular, we start from the Heideman-Hogan recurrence, which is known as one of the linearizabl…