Ergodic theory, semisimple Lie groups and foliations by manifolds of negative curvature
Ergodic transforms associated to general averages
Jones and Rosenblatt started the study of an ergodic transform which is analogous to the martingale transform. In this paper we present a unified treatment of the ergodic transforms associated to positive groups induced by nonsingular flows and to general means which include the usual averages, Cesàro-α averages and Abel means. We prove the boundedness in , 1 < p < ∞, of the maximal ergodic transforms assuming that the semigroup is Cesàro bounded in . For p = 1 we find that the maximal ergodic...
Ergodic -extensions over rational pure point spectrum, category and homomorphisms
Ergodicité d'une transformation cylindrique
Ergodicité et pureté des produits de Riesz
On montre que les produits de Riesz sur le tore sont des mesures ergodiques sous une condition de lacunarité pour les fréquences, indépendamment de toute propriété arithmétique, et que cette condition est la meilleure possible de ce point de vue. On établit un critère analogue pour la propriété de pureté discutés précédemment par B. Host et l’auteur, ce qui fournit l’exemple d’une mesure pure étrangère à toutes ses translatées et en particulier non ergodique.
Ergodicité intrinsèque de produits fibrés d'applications chaotiques unidimensionnelles
Ergodicity and asymptotically almost periodic solutions of some differential equations.
Ergodicity and extremality of AMS sources and channels.
Ergodicity and Weak-Mixing of Homogeneous Extensions of Measure-Preserving Transformations with Applications to Markov Shifts.
Ergodicity for piecewise smooth cocycles over toral rotations
Let α be an ergodic rotation of the d-torus . For any piecewise smooth function with sufficiently regular pieces the unitary operator Vh(x) = exp(2π if(x))h(x + α) acting on is shown to have a continuous non-Dirichlet spectrum if the gradient of f has nonzero integral. In particular, the resulting skew product must be ergodic. If in addition α is sufficiently well approximated by rational vectors and f is represented by a linear function with noninteger coefficients then the spectrum of V...
Ergodicity of a class of cylinder flows related to irregularities of distribution
Ergodické prelúdium
Ergodische Eigenschaften affiner Modulo-1-Transformationen.
Errata : « Les semi-martingales formelles »
Errata to the paper: ``Regularization of closed-valued multifunctions in a non-metric setting''
Errata zu der Arbeit: Verallgemeinerungen eines Satzes von H. Steinhaus.
Erratum to “Geometric rigidity of invariant measures” (J. Eur. Math. Soc. 14, 1539–1563 (2012))
Erratum to: On the Infinite Product Construction of Non-Singular Transformations of a Measure Space.
Espaces du type Sobolev sur un espace de Hilbert complexe
Espaces fonctionnels et théorèmes de I. Namioka