54 citations · 749 across the 44 of their papers we have counts for
3 papers · 1 filter
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…