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.
Mathematical Physics,Nonlinear Sciences;; Exactly Solvable and Integrable Systems; 39A36
Settore MAT/07 - Fisica Matematica
2024
15-feb-2024
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2434/1040156
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