The purpose of this note is to prove Theorem 2 below, which gives an upper bound to the measure-theoretic entropy h(p) of any probabil ity measure p invariant under a differentiable map f of a compact manifold M into itself. The upper bound is in terms of characteristic exponent
For a complete connected Riemannian manifold M let V∊ C^2(M) be such that µ(dx)=exp(-V(x))vol(dx) is...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
In this paper we consider random dynamical systems generated by compositions of one-sided independen...
In this paper we prove that, for a C-2 (non-invertible but non-degenerate) map on a compact manifold...
30 pagesLet $X$ be a compact complex manifold of dimension $k$ and $f:X \longrightarrow X$ be a domi...
We point out some facts about topological and measure entropy for the quadratic map on the unit inte...
Consider a random cocycle Phi on a separable in finite-dimensional Hilbert space preserving a probab...
In [1] the notion of topological entropy was introduced as a flow-isomorphism invariant. It was conj...
We prove that, for a C (2) non-invertible but non-degenerate map on a compact Riemannian manifold wi...
Appendix B addedInternational audienceFor a $C^\infty$ map on a compact manifold we prove that for a...
Consider a random cocycle Phi on a separable infinite-dimensional Banach space preserving a probabil...
We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence (...
We prove that, for a C-2 non-invertible but non-degenerate map f on a compact Riemannian manifold wi...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...
For a complete connected Riemannian manifold M let V∊ C^2(M) be such that µ(dx)=exp(-V(x))vol(dx) is...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
In this paper we consider random dynamical systems generated by compositions of one-sided independen...
In this paper we prove that, for a C-2 (non-invertible but non-degenerate) map on a compact manifold...
30 pagesLet $X$ be a compact complex manifold of dimension $k$ and $f:X \longrightarrow X$ be a domi...
We point out some facts about topological and measure entropy for the quadratic map on the unit inte...
Consider a random cocycle Phi on a separable in finite-dimensional Hilbert space preserving a probab...
In [1] the notion of topological entropy was introduced as a flow-isomorphism invariant. It was conj...
We prove that, for a C (2) non-invertible but non-degenerate map on a compact Riemannian manifold wi...
Appendix B addedInternational audienceFor a $C^\infty$ map on a compact manifold we prove that for a...
Consider a random cocycle Phi on a separable infinite-dimensional Banach space preserving a probabil...
We introduce the notion of metric entropy for a nonautonomous dynamical system given by a sequence (...
We prove that, for a C-2 non-invertible but non-degenerate map f on a compact Riemannian manifold wi...
In this paper we prove that for a nonuniformly hyperbolic system (f, (Lambda) over tilde) and for ev...
We study invariant measures of families of monotone twist maps S fl (q; p) = (2q \Gamma p + fl \Del...
For a complete connected Riemannian manifold M let V∊ C^2(M) be such that µ(dx)=exp(-V(x))vol(dx) is...
ABSTRACT. We show that for a $C^{1} $ one-dimensional map there is a hyperbolic Cantorset in aneighb...
In this paper we consider random dynamical systems generated by compositions of one-sided independen...
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