Add to ORKGWe show that the space of hyperbolic ergodic measures of a given index supported on an isolated homoclinic class is path connected and entropy dense provided that any two hyperbolic periodic points in this class are ho-moclinically related. As a corollary we obtain that the closure of this space is also path connected
Abstract We consider the set PH ω (M ) of volume preserving partially hyperbolic diffeomorphisms on ...
Abstract. For a compact metric space X let G = H(X) denote the group of self homeomorphisms with the...
In [1] the notion of topological entropy was introduced as a flow-isomorphism invariant. It was conj...
In this paper we establish a closing property and a hyperbolic closing property for thin trapped cha...
Abstract. We prove that if a diffeomorphism on a compact manifold pre-serves a nonatomic ergodic hyp...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
International audienceConsider a continuous map f on a compact metric space X and any continuous rea...
We present here a construction of horseshoes for any C1+alpha mapping f preserving an ergodic hyperb...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
We construct ergodic probability measures with infinite metric entropy for typical continuous maps a...
International audienceWe show that the set of ergodic invariant measures of a shift space with a saf...
Abstract. We establish the existence of ergodic measures of maximal Hausdorff dimension for hyperbol...
International audienceWe prove that, for $C^1$-generic diffeomorphisms, if a homoclinic class is not...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...
Abstract We consider the set PH ω (M ) of volume preserving partially hyperbolic diffeomorphisms on ...
Abstract. For a compact metric space X let G = H(X) denote the group of self homeomorphisms with the...
In [1] the notion of topological entropy was introduced as a flow-isomorphism invariant. It was conj...
In this paper we establish a closing property and a hyperbolic closing property for thin trapped cha...
Abstract. We prove that if a diffeomorphism on a compact manifold pre-serves a nonatomic ergodic hyp...
International audienceIn this paper, we give a precise meaning to the following fact, and we prove i...
International audienceConsider a continuous map f on a compact metric space X and any continuous rea...
We present here a construction of horseshoes for any C1+alpha mapping f preserving an ergodic hyperb...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
We construct ergodic probability measures with infinite metric entropy for typical continuous maps a...
International audienceWe show that the set of ergodic invariant measures of a shift space with a saf...
Abstract. We establish the existence of ergodic measures of maximal Hausdorff dimension for hyperbol...
International audienceWe prove that, for $C^1$-generic diffeomorphisms, if a homoclinic class is not...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...
Abstract We consider the set PH ω (M ) of volume preserving partially hyperbolic diffeomorphisms on ...
Abstract. For a compact metric space X let G = H(X) denote the group of self homeomorphisms with the...
In [1] the notion of topological entropy was introduced as a flow-isomorphism invariant. It was conj...