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- Université de Bretagne OccidentaleFR73 papers
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4 papers · 2 filters
Quantitative recurrence for tranformation
Françoise Pène, Benoit Saussol
We are interested in the study of the asymptotic behaviour of return times in small balls for the -transformation. We exhibit different asymptotic behaviours (different s…
An Estimation of Phase Transition
Shamsa Ishaq, Renaud Leplaideur
In [8], H. Bruin and R. Leplaideur studied a class of potentials such that the pressure function exhibit a phase transition at a parameter \b{eta}c > 0. This paper will prove that…
Rates in almost sure invariance principle for nonuniformly hyperbolic maps
C Cuny, J Dedecker, A Korepanov +1
We prove the Almost Sure Invariance Principle (ASIP) with close to optimal error rates for nonuniformly hyperbolic maps. We do not assume exponential contraction along stable leave…
The Jacaranda tree is strongly aperiodic and has zero entropy
Alexandre Baraviera, Renaud Leplaideur
We prove that the Jacaranda tree obtained as a fixed point for a substreetution in previous work of the authors is strongly aperiodic and that the number of patches increases linea…