120 citations · 605 across the 41 of their papers we have counts for
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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…
Nonlinear forms of coprimeness preserving extensions to the Somos- recurrence and the two-dimensional Toda lattice equation --investigation into their extended Laurent properties--
Ryo Kamiya, Masataka Kanki, Takafumi Mase +1
Coprimeness property was introduced to study the singularity structure of discrete dynamical systems. In this paper we shall extend the coprimeness property and the Laurent propert…
Algebraic entropy of an extended Hietarinta-Viallet equation
Masataka Kanki, Takafumi Mase, Tetsuji Tokihiro
We introduce a series of discrete mappings, which is considered to be an extension of the Hietarinta-Viallet mapping with one parameter. We obtain the algebraic entropy for this ma…