132 citations
- Institut de Mathématiques de MarseilleFR110 papers
- Institut Polytechnique de BordeauxFR70 papers
- Centre National de la Recherche ScientifiqueFR53 papers
- Université de BordeauxFR53 papers
- Château GombertFR36 papers
- Arts et MétiersFR19 papers
- Aix-Marseille UniversitéFR13 papers
- Rutgers, The State University of New JerseyUS12 papers
- Institut de Radioprotection et de Sûreté NucléaireFR9 papers
- Institut National de Recherche pour l'Agriculture, l'Alimentation et l'EnvironnementFR8 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR7 papers
- Institut de Mathématiques de BordeauxFR7 papers
30 papers · 1 filter
Frequency of patterns in smooth sequences over the alphabet \{1, 3\}
Damien Jamet, Irène Marcovici, Léo Poirier +1
We provide an ergodic theory framework to study statistical properties of smooth sequences over the odd alphabet {1, 3}. The arithmetic nature of this alphabet yields a partition o…
Genus one Birkhoff sections for geodesic flows on orbifolds
Pierre Dehornoy
For a hyperbolic orientable 2-orbifold of genus with at most conic points, we prove that the geodesic flow on the unitary tangent bundle$\mathrm{T}^1\mathc…
On K{\r u}rka's dichotomy for cellular automata on groups
Jade Angela Hope Audouard, Guillaume Theyssier
This paper is about topological dynamics of cellular automata on finitely generated groups. We tackle the problem of determining for which group sensitivity to initial conditions i…
On Lebesgue measure preserving Besicovitch functions
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
We consider the space of all continuous interval maps preserving the Lebesgue measure . A continuous function is called Besicovitch if it does…
Keplerian shear for Chacon Transformations
Arthur Boos, Benoit Saussol
The concept of keplerian shear was introduced by Damien Thomine recently. It is useful for non ergodic systems, and can be seen as strong mixing conditionally on invariant fibers.…
Generic continuous Lebesgue measure-preserving interval maps are nowhere monotone but invertible a.e
Jozef Bobok, Jernej Činč, Piotr Oprocha +1
We consider continuous maps of the interval which preserve the Lebesgue measure. Except for the identity map or $1 - \id$ all such maps have topological entropy at least …