715 citations
- Centre National de la Recherche ScientifiqueFR184 papers
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9 papers · 1 filter
Poisson processes for subsystems of finite type in symbolic dynamics
J. -R. Chazottes, Z. Coelho, P. Collet
Let $Δ\subsetneq\V$ be a proper subset of the vertices $\V$ of the defining graph of an irreducible and aperiodic shift of finite type . Let be the subshift of…
Periodic billiard orbits in right triangles II
Serge Troubetzkoy
Periodic billiard orbits are dense in the phase space of an irrational right triangle. A stronger pointwise density result is also proven.
Local rates of Poincare recurrence for rotations and weak mixing
JR Chazottes, F. Durand
We study the lower and upper local rates of Poincare recurrence of rotations on the circle by means of symbolic dynamics. As a consequence, we show that if the lower rate of Poinca…
Birkhoff averages of Poincare cycles for Axiom-A diffeomorphisms
J. -R. Chazottes, R. Leplaideur
We study the time of th return of orbits to some given (union of) rectangle(s) of a Markov partition of an Axiom A diffeomorphism. Namely, we prove the existence of a scaled gen…
The Gauss map on a class of interval translation mappings
H. Bruin, S. Troubetzkoy
We study the dynamics of a class of interval translation map on three intervals. We show that in this class the typical ITM is of finite type (reduce to an interval exchange transf…
Projection of Markov measures may be Gibbsian
J. -R. Chazottes, E. Ugalde
We study the induced measure obtained from a 1-step Markov measure, supported by a topological Markov chain, after the mapping of the original alphabet onto another one. We give su…