An exercise in experimental mathematics: calculation of the algebraic entropy of a map

Abstract

We illustrate the use of the notion of derived recurrences introduced earlier to evaluate the algebraic entropy of self-maps of projective spaces. We in particular give an example, where a complete proof is still awaited, but where different approaches are in such perfect agreement that we can trust we get to an exact result. This is an instructive example of experimental mathematics.

Version formatted for Open Communication in Nonlinear Physics (OCNMP) Special issue in Memory of Professor Decio Levi

References in corpus (3)

• Laurent Polynomials and Superintegrable Maps
• Space of initial conditions and geometry of two 4-dimensional discrete Painlevé equations
• On the Coprimeness Property of Discrete Systems without the Irreducibility Condition