97 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Laboratoire de Probabilités et Modèles AléatoiresFR238 papers
- Sorbonne UniversitéFR182 papers
- Centre National de la Recherche ScientifiqueFR143 papers
- Université Paris CitéFR90 papers
- Sorbonne Paris CitéFR46 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR29 papers
- École Normale Supérieure - PSLFR28 papers
- Laboratoire de Mathématiques d'OrsayFR28 papers
- Département de mathématiques et applicationsFR25 papers
- École PolytechniqueFR24 papers
- Institut Universitaire de FranceFR23 papers
- Université Paris DiderotFR23 papers
10 papers · 2 filters
On the fractional susceptibility function of piecewise expanding maps
M. Aspenberg, V. Baladi, J. Leppänen +1
We associate to a perturbation of a (stably mixing) piecewise expanding unimodal map a two-variable fractional susceptibility function , depending also on…
Additive, almost additive and asymptotically additive potential sequences are equivalent
Noé Cuneo
Motivated by various applications and examples, the standard notion of potential for dynamical systems has been generalized to almost additive and asymptotically additive potential…
Non-uniform hyperbolicity in polynomial skew products
Zhuchao Ji
Let be a polynomial skew product which leaves invariant an attracting vertical line . Assume moreover restricted to is non-uniformly h…
A self-consistent dynamical system with multiple absolutely continuous invariant measures
Fanni M. Sélley
In this paper we study a class of \emph{self-consistent dynamical systems}, self-consistent in the sense that the discrete time dynamics is different in each step depending on curr…
Quadratic response of random and deterministic dynamical systems
Stefano Galatolo, Julien Sedro
We consider the linear and quadratic higher order terms associated to the response of the statistical properties of a dynamical system to suitable small perturbations. These terms…
There are no deviations for the ergodic averages of the Giulietti-Liverani horocycle flows on the two-torus
Viviane Baladi
We show that the ergodic averages for the horocycle flow on the two-torus associated by Giulietti and Liverani to an Anosov diffeomorphism either grow linearly or are bounded, in o…
Transfer operator for ultradifferentiable expanding maps of the circle
Malo Jézéquel
Given a expanding map of the circle, we construct a Hilbert space of smooth functions on which the transfer operator associated…
Sunklodas' approach to normal approximation for time-dependent dynamical systems
Juho Leppänen, Mikko Stenlund
We consider time-dependent dynamical systems arising as sequential compositions of self-maps of a probability space. We establish conditions under which the Birkhoff sums for multi…
Entropy of physical measures for smooth systems
David Burguet
For a map on a compact manifold we prove that for a Lebesgue randomly picked point x there is an empirical measure from with entropy larger than or equal to the sum…
Global trace formula for ultra-differentiable Anosov flows
Malo Jézéquel
Adapting tools that we introduced in [19] to study Anosov flows, we prove that the trace formula conjectured by Dyatlov and Zworski in [12] holds for Anosov flows in a certain clas…