5 citations · 12 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…