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
50 papers · 1 filter
Continuity of Lyapunov exponents for C^r one-dimensional maps
Alexandre Delplanque, Hengyi Li
We prove the entropic continuity of Lyapunov exponent for C^r maps of the interval or of the circle with large entropy for r>1, without making any assumptions on the set of critica…
Some rigidity results for polynomial automorphisms of C^2
Serge Cantat, Romain Dujardin
We prove several new rigidity results for polynomial automorphisms of with positive entropy. A first result is that a complex slice of the (forward or backward) Julia…
Hyperbolic absolutely continuous invariant measures for C^r one-dimensional maps
Alexandre Delplanque
For r > 1, we show, using the Ledrappier-Young entropy characterization of SRB measures for non-invertible maps, that if a C^r map f of the interval or the circle has its Lyapunov…
Holomorphically conjugate polynomial automorphisms of C^2 are polynomially conjugate
Serge Cantat, Romain Dujardin
We confirm a conjecture of Friedland and Milnor: if two polynomial automorphisms f and g in Aut(C^2) with dynamical degree >1 are conjugate by some holomorphic diffeomorphism ϕof C…
SRB measures for partially hyperbolic systems with one-dimensional center subbundles
David Burguet
For a partially hyperbolic attractor with a center bundle splitting in a dominatedway into one-dimensional subbundles we show that for Lebesgue almost every point there is anempiri…
Dimension gap and variational principle for Anosov representations
François Ledrappier, Pablo Lessa
We consider a representation of a finitely generated CAT(--K) group in SL(d, R) that is Zariski dense and k-Anosov for at least two values of k. We exhibit a gap for the Minkow…
Structure of hyperbolic polynomial automorphisms of C^2 with disconnected Julia sets
Romain Dujardin, Mikhail Lyubich
For a hyperbolic polynomial automorphism of C^2 with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the…
Multiplicity of topological systems
David Burguet, Ruxi Shi
We define the topological multiplicity of an invertible topological system as the minimal number of real continuous functions such that the functions…
Degenerate homoclinic bifurcations in complex dimension 2
Romain Dujardin
Unfolding homoclinic tangencies is the main source of bifurcations in 2-dimensional (real or complex) dynamics. When studying this phenomenon, it is common to assume that tangencie…
Thermodynamic formalism for piecewise expanding maps in finite dimension
Viviane Baladi, Roberto Castorrini
We study weighted transfer operators associated to a piecewise expanding map on a compact manifold, and a piecewise Holder weight, acting on Sobolev spaces. We bound the essential…
Exact dimension of dynamical stationary measures
François Ledrappier, Pablo Lessa
We consider a random walk on with finite first moment and finite entropy. We show that the distributions of the unstable flag space and of the stable flag space…
A parameter ASIP for the quadratic family
Magnus Aspenberg, Viviane Baladi, Tomas Persson
Consider the quadratic family , for and mixing Collet--Eckmann (CE) parameters . For bounded , set $\tilde φ_{a} := φ- \int φ\,…
Measure of maximal entropy for finite horizon Sinai billiard flows
Viviane Baladi, Jérôme Carrand, Mark Demers
Using recent work of Carrand on equilibrium states for the billiard map, and bootstrapping via a "leapfrogging" method from a previous article of Baladi and Demers, we construct th…
Topological mean dimension of induced systems
David Burguet, Ruxi Shi
For a topological system with positive topological entropy, we show that the induced transformation on the set of probability measures endowed with the weak- topology has infini…
Strongly isomorphic symbolic extensions for expansive topological flows
Yonatan Gutman, Ruxi Shi
In this paper, we prove that finite-dimensional topological flows without fixed points and having a countable number of periodic orbits, have the small flow boundary property. This…
On convergence of linear response formulae in some piecewise hyperbolic maps
Caroline L. Wormell
When high-dimensional non-uniformly hyperbolic chaotic systems undergo dynamical perturbations, their long-time statistics are generally observed to respond differentiably with res…
Rates of mixing for the measure of maximal entropy of dispersing billiard maps
Mark F. Demers, Alexey Korepanov
In a recent work, Baladi and Demers constructed a measure of maximal entropy for finite horizon dispersing billiard maps and proved that it is unique, mixing and moreover Bernoulli…
Mean dimension of natural extension of algebraic systems
Bingbing Liang, Ruxi Shi
Mean dimension may decrease after taking the natural extension. In this paper we show that mean dimension is preserved by natural extension for an endomorphism on a compact metriza…
Quenched linear response for smooth expanding on average cocycles
Davor Dragičević, Paolo Giulietti, Julien Sedro
We establish an abstract quenched linear response result for random dynamical systems, which we then apply to the case of smooth expanding on average cocycles on the unit circle. I…
SRB measures for C surface diffeomorphisms
David Burguet
A surface diffeomorphism admits a SRB measure if and only if the set \left \{x, \limsup_n \frac{1}{ n} \log \|d_xf^n \|> 0\right\} has positive Lebesgue measure. Moreove…
Geometric methods in holomorphic dynamics
Romain Dujardin
In this note we review a selection of contemporary research themes in holomorphic dynamics. The main topics that will be discussed are: geometric (laminar and woven) currents and t…
Exact dimension of Furstenberg measures
Francois Ledrappier, Pablo Lessa
For a probability measure on SL d (R), we consider the Furstenberg stationary measure on the space of flags. Under general non-degeneracy conditions, if is discrete and if…
Existence of physical measures in some Excitation-Inhibition Networks
Matteo Tanzi, Lai-Sang Young
In this paper we present a rigorous analysis of a class of coupled dynamical systems in which two distinct types of components, one excitatory and the other inhibitory, interact wi…
On variational principles for metric mean dimension
Ruxi Shi
In this note, we show several variational principles for metric mean dimension. First we prove a variational principles in terms of Shapira's entropy related to finite open covers.…