Entropie de l'image inverse d'une application
Entropy and growth of expanding periodic orbits for one-dimensional maps
Let f be a continuous map of the circle or the interval I into itself, piecewise , piecewise monotone with finitely many intervals of monotonicity and having positive entropy h. For any ε > 0 we prove the existence of at least periodic points of period with large derivative along the period, for some subsequence of natural numbers. For a strictly monotone map f without critical points we show the existence of at least such points.
Entropy linearity and chain-recurrence
Équirépartition de fonctions propres pour des problèmes aux limites
Ergodic Properties of Certain Surjective Cellular Automata.
Ergodic theory for the one-dimensional Jacobi operator
We determine the number and properties of the invariant measures under the projective flow defined by a family of one-dimensional Jacobi operators. We calculate the derivative of the Floquet coefficient on the absolutely continuous spectrum and deduce the existence of the non-tangential limit of Weyl m-functions in the -topology.
Ergodic theory of differentiable dynamical systems
Ergodicité de fonctions propres pour des problèmes aux limites
Ergodicité générique des billards polygonaux
Ergodicité intrinsèque de produits fibrés d'applications chaotiques unidimensionnelles
Ergodicity of harmonic invariant measures for the geodesic flow on hyperbolic spaces.
Ergodicity of toral linked twist mappings
Estimation de l'entropie des systèmes lagrangiens sans points conjugués
Étude d'opérateurs quasi-compacts positifs. Applications aux opérateurs de transfert
Exactness of expanding mappings
Exactness of skew products with expanding fibre maps
We give an elementary proof for the uniqueness of absolutely continuous invariant measures for expanding random dynamical systems and study their mixing properties.
Existence of discrete ergodic singular transforms for admissible processes
This article is concerned with the study of the discrete version of generalized ergodic Calderón-Zygmund singular operators. It is shown that such discrete ergodic singular operators for a class of superadditive processes, namely, bounded symmetric admissible processes relative to measure preserving transformations, are weak (1,1). From this maximal inequality, a.e. existence of the discrete ergodic singular transform is obtained for such superadditive processes. This generalizes the well-known...
Existence of time averages from the topological point of view