Add to ORKGWe study the equilibrium measure µ = T ∧ T of endomorphisms f of CP(2) of degree d ≥ 2, where T is the Green current of f. Dujardin proved that if µ is absolutely continuous with respect to T then f has a minimal Lyapunov exponent [12]. We show the reverse implication under a local uniform assumption on unstable manifolds of the dynamical system
In the space of diffeomorphisms of an arbitrary closed manifold of dimension > 3, we construct an op...
This thesis studies the dynamical properties of holomorphic endomorphisms of the complex projective...
Let mu be an SRB-measure on an Axiom A attractor Delta of a C(2)-endomorphism (M, f). As is known, p...
International audienceWe introduce a notion of stability for equilibrium measures in holomorphic fam...
International audienceWe study the structure and the Lyapunov exponents of the equilibrium measure o...
International audienceWe continue our study of the dynamics of mappings with small topological degre...
We prove that, for a C (2) non-invertible but non-degenerate map on a compact Riemannian manifold wi...
International audienceLLet $f$ be a holomorphic endomorphism of $\mathbb P^ 2$ of degree $d \geq 2$....
We extend the metric proof of the converse Lyapunov Theorem, given in [13] for continuous multivalue...
This volume presents a general smooth ergodic theory for deterministic dynamical systems generated b...
International audienceWe extend the metric proof of the inverse Lyapunov Theorem, given in [13] for ...
Lyapunov exponents measure the asymptotic behavior of tangent vectors under iteration, positive expo...
We show that a stably ergodic diffeomorphism can be C1 approximated by a diffeomorphism having stabl...
38 pagesInternational audienceWe consider a meromorphic family of endomorphisms of degree at least 2...
Abstract. We give a general necessary condition for the extremal (largest and smallest) Lyapunov exp...
In the space of diffeomorphisms of an arbitrary closed manifold of dimension > 3, we construct an op...
This thesis studies the dynamical properties of holomorphic endomorphisms of the complex projective...
Let mu be an SRB-measure on an Axiom A attractor Delta of a C(2)-endomorphism (M, f). As is known, p...
International audienceWe introduce a notion of stability for equilibrium measures in holomorphic fam...
International audienceWe study the structure and the Lyapunov exponents of the equilibrium measure o...
International audienceWe continue our study of the dynamics of mappings with small topological degre...
We prove that, for a C (2) non-invertible but non-degenerate map on a compact Riemannian manifold wi...
International audienceLLet $f$ be a holomorphic endomorphism of $\mathbb P^ 2$ of degree $d \geq 2$....
We extend the metric proof of the converse Lyapunov Theorem, given in [13] for continuous multivalue...
This volume presents a general smooth ergodic theory for deterministic dynamical systems generated b...
International audienceWe extend the metric proof of the inverse Lyapunov Theorem, given in [13] for ...
Lyapunov exponents measure the asymptotic behavior of tangent vectors under iteration, positive expo...
We show that a stably ergodic diffeomorphism can be C1 approximated by a diffeomorphism having stabl...
38 pagesInternational audienceWe consider a meromorphic family of endomorphisms of degree at least 2...
Abstract. We give a general necessary condition for the extremal (largest and smallest) Lyapunov exp...
In the space of diffeomorphisms of an arbitrary closed manifold of dimension > 3, we construct an op...
This thesis studies the dynamical properties of holomorphic endomorphisms of the complex projective...
Let mu be an SRB-measure on an Axiom A attractor Delta of a C(2)-endomorphism (M, f). As is known, p...