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math-ph2023★ 2 cited
Algebraic entropy for systems of quad equations
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…
nlin.SI2023
Determination of the symmetry group for some QRT roots
Giorgio Gubbiotti, Yang Shi
We determine the affine Weyl symmetries of some two-dimensional birational maps known as QRT roots arising from Kahan--Hirota--Kimura discretisation of two different reduced Nahm s…
math.AG2023
Growth and integrability of some birational maps in dimension three
Michele Graffeo, Giorgio Gubbiotti
Motivated by the study of the Kahan--Hirota--Kimura discretisation of the Euler top, we characterise the growth and integrability properties of a collection of elements in the Crem…