Algebraic entropy for systems of quad equations
Mathematical Physics
2024-02-28 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
In this work I discuss briefly the calculation of the algebraic entropy for systems of quad equations. In particular, I observe that since systems of multilinear equations can have algebraic solution, in some cases one might need to restrict the direction of evolution only to the pair of vertices yielding a birational evolution. Some examples from the exiting literature are presented and discussed within this framework.
Keywords
Cite
@article{arxiv.2307.12314,
title = {Algebraic entropy for systems of quad equations},
author = {Giorgio Gubbiotti},
journal= {arXiv preprint arXiv:2307.12314},
year = {2024}
}
Comments
24 pages (amsart style), 5 figures. This paper is dedicated to the memory of Prof. Decio Levi