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most citedBirkhoff averages of Poincare cycles for Axiom-A diffeomorphisms

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math.DS2008

Renormalization for a Class of Dynamical Systems: some Local and Global Properties

Alexandre Baraviera, Renaud Leplaideur, Artur O. Lopes

We study the period doubling renormalization operator for dynamics which present two coupled laminar regimes with two weakly expanding fixed points. We focus our analysis on the po…

math.DS2008

Equilibrium States for Partially Hyperbolic Horseshoes

Renaud Leplaideur, Krerley Oliveira, Isabel Rios

In this paper, we study ergodic features of invariant measures for the partially hyperbolic horseshoe at the boundary of uniformly hyperbolic diffeomorphisms constructed in \cite{D…

math.DS2007

Large deviations for return times in non-rectangle sets for axiom A diffeomorphisms

Renaud Leplaideur, Benoit Saussol

For Axiom A diffeomorphisms and equilibrium states, we prove a Large deviations result for the sequence of successive return times into a fixed Borel set, under some assumption on…

math.DS2007

Large deviation for return times in open sets for axiom A diffeomorphisms

Renaud Leplaideur, Benoît Saussol

For axiom A diffeomorphisms and equilibrium state, we prove a Large deviation result for the sequence of successive return times into a fixed open set, under some assumption on the…

math.DS20031 cited

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…