4 citations · 5 across the 7 of their papers we have counts for
4 papers · 1 filter
Entropy estimation and fluctuations of Hitting and Recurrence Times for Gibbsian sources
J. -R. Chazottes, E. Ugalde
Motivated by entropy estimation from chaotic time series, we provide a comprehensive analysis of hitting times of cylinder sets in the setting of Gibbsian sources. We prove two str…
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…
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…