39 citations · 132 across the 7 of their papers we have counts for
7 papers
Renormalization, isogenies and rational symmetries of differential equations
A. Bostan, S. Boukraa, S. Hassani +4
We give an example of infinite order rational transformation that leaves a linear differential equation covariant. This example can be seen as a non-trivial but still simple illust…
Degree Complexity of a Family of Birational Maps
Eric Bedford, Kyounghee Kim, Truong Trung Tuyen +2
We compute the degree complexity of a family of birational mappings of the plane with high order singularities.
Real Arnold complexity versus real topological entropy for birational transformations
N. Abarenkova, J. -Ch. Anglès d'Auriac, S. Boukraa +2
We consider a family of birational transformations of two variables, depending on one parameter, for which simple rational expressions with integer coefficients, for the exact expr…
Complexity spectrum of some discrete dynamical systems
N. Abarenkova, J-. Ch. Anglès d'Auriac, S. Boukraa +1
We first study birational mappings generated by the composition of the matrix inversion and of a permutation of the entries of matrices. We introduce a semi-numerica…
Rational dynamical zeta functions for birational transformations
N. Abarenkova, J. -Ch. Anglès d'Auriac, S. Boukraa +2
We propose a conjecture for the exact expression of the dynamical zeta function for a family of birational transformations of two variables, depending on two parameters. This conje…
Topological entropy and complexity for discrete dynamical systems
N. Abarenkova, J. -Ch. Anglès d'Auriac, S. Boukraa +2
To test a possible relation between the topological entropy and the Arnold complexity, and to provide a non trivial example of a rational dynamical zeta function, we introduce a tw…