Add to ORKGA major concept in differentiable dynamics is the Lyapunov exponents of a given map f. It combines the results of ergodic theory with differential properties of f. Consider the following two closely related examples which motivate our paper. Let M be a compact surface and f: M → M a smooth diffeomorphism. Let E denote the set of Borel f-invariant ergodic measures on M. Assume that µ ∈ E. Let h(µ) be the µ-entrop
Abstract. We establish the existence of ergodic measures of maximal Hausdorff dimension for hyperbol...
Abstract. The theory of Lyapunov exponents and methods from ergodic the-ory have been employed by se...
0.1. Introduction. We construct an example of a dieomorphism with nonzero Lyapunov exponents with re...
We consider diffeomorphisms of a compact Riemann Surface. A development of Oseledec's Multiplicative...
Abstract. We study the Hausdorff dimension and the pointwise di-mension of measures that are not nec...
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...
Abstract. In this paper we present two approaches to estimate the Hausdorff dimension of an invarian...
We construct an example of a dieomorphism with non-zero Lyapunov exponents with respect to a smooth ...
Abstract. We generalize the concept of Lyapunov exponent to trans-formations that are not necessaril...
International audienceWe continue our study of the dynamics of mappings with small topological degre...
Abstract. For a smooth ZZ2−action on a C ∞ compact Riemannian manifold M, we discuss its ergodic pro...
We study the measure-theoretic and topological entropies of diffeo- morphisms of surfaces. In the me...
This book is a systematic introduction to smooth ergodic theory. The topics discussed include the ge...
This volume presents a general smooth ergodic theory for deterministic dynamical systems generated b...
Abstract. We establish the existence of ergodic measures of maximal Hausdorff dimension for hyperbol...
Abstract. The theory of Lyapunov exponents and methods from ergodic the-ory have been employed by se...
0.1. Introduction. We construct an example of a dieomorphism with nonzero Lyapunov exponents with re...
We consider diffeomorphisms of a compact Riemann Surface. A development of Oseledec's Multiplicative...
Abstract. We study the Hausdorff dimension and the pointwise di-mension of measures that are not nec...
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...
In this paper we present two approaches to estimate the Hausdorff dimension of an invariant compact ...
Abstract. In this paper we present two approaches to estimate the Hausdorff dimension of an invarian...
We construct an example of a dieomorphism with non-zero Lyapunov exponents with respect to a smooth ...
Abstract. We generalize the concept of Lyapunov exponent to trans-formations that are not necessaril...
International audienceWe continue our study of the dynamics of mappings with small topological degre...
Abstract. For a smooth ZZ2−action on a C ∞ compact Riemannian manifold M, we discuss its ergodic pro...
We study the measure-theoretic and topological entropies of diffeo- morphisms of surfaces. In the me...
This book is a systematic introduction to smooth ergodic theory. The topics discussed include the ge...
This volume presents a general smooth ergodic theory for deterministic dynamical systems generated b...
Abstract. We establish the existence of ergodic measures of maximal Hausdorff dimension for hyperbol...
Abstract. The theory of Lyapunov exponents and methods from ergodic the-ory have been employed by se...
0.1. Introduction. We construct an example of a dieomorphism with nonzero Lyapunov exponents with re...