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.
Algebraic entropy for systems of quad equations / G. Gubbiotti. - In: OPEN COMMUNICATIONS IN NONLINEAR MATHEMATICAL PHYSICS. - ISSN 2802-9356. - 2024:1 Special Issue in Memory of Decio Levi(2024), pp. 11638.1-11638.20. [10.46298/ocnmp.11638]
Algebraic entropy for systems of quad equations
G. Gubbiotti
2024
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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