Add to ORKGInternational audienceWe study the invariant measures of typical $C^0$ maps on compact connected manifolds with or without boundary, and also of typical homeomorphisms. We prove that the weak$^*$ closure of the set of ergodic measurescoincides with the weak$^*$ closure of the set of measures supported on periodic orbits and also coincides withthe set of pseudo-physical measures. Furthermore, we show that this set has empty interior in the set of invariant measures
Abstract. Two new concepts, closeability with respect to a set of pe-riodic points and linkability o...
We prove that, for a C-2 non-invertible but non-degenerate map f on a compact Riemannian manifold wi...
AbstractWe prove that, under a mild summability condition on the growth of the derivative on critica...
The class of all invariant measures of a transformation, or a flow, is an important aspect of its dy...
AbstractWe study nonatomic, locally positive, Lebesgue–Stieltjes measures on compact Menger manifold...
Abstract. We prove that if a diffeomorphism on a compact manifold pre-serves a nonatomic hyperbolic ...
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expan...
We study some special classes of piecewise continuous maps on a finite smooth partition of a compact...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
We study the ergodic properties of generic continuous dynamical systems on compact manifolds. As a m...
autre titre : Stability of existence of non-hyperbolic measures for C^1-diffeomorphisms, Translated ...
In the space of diffeomorphisms of an arbitrary closed manifold of dimension > 3, we construct an op...
Given a compact manifold X, a continuous function g : X -> IR, and a map T : X -> X, we study proper...
We consider the topological category of various subsets of the set of expanding maps from a manifold...
In this paper we prove that, for a C-2 (non-invertible but non-degenerate) map on a compact manifold...
Abstract. Two new concepts, closeability with respect to a set of pe-riodic points and linkability o...
We prove that, for a C-2 non-invertible but non-degenerate map f on a compact Riemannian manifold wi...
AbstractWe prove that, under a mild summability condition on the growth of the derivative on critica...
The class of all invariant measures of a transformation, or a flow, is an important aspect of its dy...
AbstractWe study nonatomic, locally positive, Lebesgue–Stieltjes measures on compact Menger manifold...
Abstract. We prove that if a diffeomorphism on a compact manifold pre-serves a nonatomic hyperbolic ...
We prove the existence of absolutely continuous invariant measures for piecewise real-analytic expan...
We study some special classes of piecewise continuous maps on a finite smooth partition of a compact...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
We study the ergodic properties of generic continuous dynamical systems on compact manifolds. As a m...
autre titre : Stability of existence of non-hyperbolic measures for C^1-diffeomorphisms, Translated ...
In the space of diffeomorphisms of an arbitrary closed manifold of dimension > 3, we construct an op...
Given a compact manifold X, a continuous function g : X -> IR, and a map T : X -> X, we study proper...
We consider the topological category of various subsets of the set of expanding maps from a manifold...
In this paper we prove that, for a C-2 (non-invertible but non-degenerate) map on a compact manifold...
Abstract. Two new concepts, closeability with respect to a set of pe-riodic points and linkability o...
We prove that, for a C-2 non-invertible but non-degenerate map f on a compact Riemannian manifold wi...
AbstractWe prove that, under a mild summability condition on the growth of the derivative on critica...