143 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Université de Bretagne OccidentaleFR153 papers
- Université de Bretagne SudFR111 papers
- Centre National de la Recherche ScientifiqueFR84 papers
- Institut de recherche mathématique de RennesFR14 papers
- Laboratoire des Sciences et Techniques de l’Information de la Communication et de la ConnaissanceFR11 papers
- Shandong UniversityCN11 papers
- Université Paris CitéFR11 papers
- Utah State UniversityUS11 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR10 papers
- Mathématiques Appliquées à Paris 5FR10 papers
- IMT AtlantiqueFR9 papers
- Lyon 1 UniversitéFR9 papers
34 papers · 1 filter
Limits of equilibrium states for coupled weakly interacting systems. Application to the measure of maximal entropy
Renaud Leplaideur
We study metastability for symbolic dynamic. We prove that for a global system given by two independent sub-systems linked by a hole, and for a Lipschitz continuous potential, the…
Zeta functions and the Fried conjecture for smooth pseudo-Anosov flows
Malo Jézéquel, Jonathan Zung
To a transitive pseudo-Anosov flow on a -manifold and a representation of , we associate a zeta function defined for , generalizing…
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…
Conditioned limit theorems for hyperbolic dynamical systems
Ion Grama, Jean-François Quint, Hui Xiao
Let be a subshift of finite type equipped with the Gibbs measure and let be a real-valued Hölder continuous function on such that . C…
Expansions in the local and the central limit theorems for dynamical systems
Kasun Fernando, Françoise Pène
We study higher order expansions both in the Berry-Esséen estimate (Edgeworth expansions) and in the local limit theorems for Birkhoff sums of chaotic probability preserving dynami…
Application of the convergence of the spatio-temporal processes for visits to small sets
Françoise Pène, Benoit Saussol
The goal of this article is to point out the importance of spatio-temporal processes in different questions of quantitative recurrence. We focus on applications to the study of the…
Nonlinear thermodynamical formalism
Jérôme Buzzi, Benoît Kloeckner, Renaud Leplaideur
We define a nonlinear thermodynamical formalism which translates into dynamical system theory the statistical mechanics of generalized mean-field models, extending investigation of…
Sharp error term in local limit theorems and mixing for Lorentz gases with infinite horizon
Francoise Pène, Dalia Terhesiu
We obtain sharp error rates in the local limit theorem for the Sinai billiard map (one and two dimensional) with infinite horizon. This result allows us to further obtain higher or…
Resolvent conditions and growth of powers of operators
Guy Cohen, Christophe Cuny, Tanja Eisner +1
Following Bermúdez et al. (ArXiv: 1706.03638v1), we study the rate of growth of the norms of the powers of a linear operator, under various resolvent conditions or Cesàro boundedne…
Local limit theorem for randomly deforming billiards
Mark F. Demers, Francoise Pene, Hong-Kun Zhang
We study limit theorems in the context of random perturbations of dispersing billiards in finite and infinite measure. In the context of a planar periodic Lorentz gas with finite h…
Large deviation for return times
Adriana Coutinho, Jerome Rousseau, Benoit Saussol
We prove a large deviation result for return times of the orbits of a dynamical system in a -neighbourhood of an initial point . Our result may be seen as a differentiable ve…
Rates in almost sure invariance principle for slowly mixing dynamical systems
C. Cuny, J. Dedecker, A. Korepanov +1
We prove the one-dimensional almost sure invariance principle with essentially optimal rates for slowly (polynomially) mixing deterministic dynamical systems, such as Pomeau-Mannev…
Mixing rate in infinite measure for Z^d-extension, application to the periodic Sinai billiard
Françoise Pène
We study the rate of mixing of observables of Z^d-extensions of probability preserving dynamical systems. We explain how this question is directly linked to the local limit theorem…
Generalized Curie-Weiss Model and Quadratic Pressure in Ergodic Theory
R. Leplaideur, F. Watbled
We explain the Curie Weiss model in Statistical Mechanics within the Ergodic viewpoint. More precisely, we simultaneously define in , on the one hand a gene…
Thermodynamic formalism and Substitutions
Nicolas Bedaride, Pascal Hubert, Renaud Leplaideur
This paper studies properties of a Renormalization Operator for potentials in symbolic dynamics. These operators first appeared in \cite{BLL} and the link with substitutions was do…
Stochastic Variational Inequalities on Non-Convex Domains
Rainer Buckdahn, Lucian Maticiuc, Etienne Pardoux +1
The objective of this work is to prove, in a first step, the existence and the uniqueness of a solution of the following multivalued deterministic differential equation: $dx(t)+\pa…
Multiple mixing from weak hyperbolicity by the Hopf argument
Yves Coudène, Boris Hasselblatt, Serge Troubetzkoy
We show that using only weak hyperbolicity (no smoothness, compactness or exponential rates) the Hopf argument produces multiple mixing in an elementary way. While this recovers cl…
Generic measures for geodesic flows on nonpositively curved manifolds
Yves Coudene, Barbara Schapira
We study the generic invariant probability measures for the geodesic flow on connected complete nonpositively curved manifolds. Under a mild technical assumption, we prove that erg…
The leaves of the Fatou set accumulate on the leaves of the Julia set
Nicolas Hussenot
In 2001 E. Ghys, X. Gomez-Mont and J. Saludes defined the Fatou and Julia components of transversely holomorphic foliations on compact manifolds. It is a partition of the manifold…
Self-intersections of trajectories of Lorentz process
Francoise Pene
We study the asymptotic behaviour of the number of self-intersections of a trajectory of a periodic planar Lorentz process with strictly convex obstacles and finite horizon. We giv…
An asymptotic estimate of the variance of the self-intersections of a planar periodic Lorentz process
Francoise Pene
We consider a periodic planar Lorentz process with strictly convex obstacles and finite horizon. This process describes the displacement of a particle moving in the plane with unit…