Giorgio Gubbiotti - Algebraic entropy for systems of quad equations

ocnmp:11638 - Open Communications in Nonlinear Mathematical Physics, February 15, 2024, Special Issue in Memory of Decio Levi - https://doi.org/10.46298/ocnmp.11638
Algebraic entropy for systems of quad equationsArticle

Authors: Giorgio Gubbiotti

    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.


    Volume: Special Issue in Memory of Decio Levi
    Published on: February 15, 2024
    Accepted on: February 5, 2024
    Submitted on: July 25, 2023
    Keywords: Mathematical Physics,Nonlinear Sciences - Exactly Solvable and Integrable Systems,39A36

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