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Algebraic entropy for systems of quad equations (2307.12314v2)

Published 23 Jul 2023 in math-ph, math.MP, and nlin.SI

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.

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