54 citations · 749 across the 44 of their papers we have counts for
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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…