Majoration des semi-groupes de contractions de L1 et applications
Mapping properties of maximal operators
Markov maps associated with fuchsian groups
Martingale theorems in the ergodic theory
Maximal ergodic theorem on a logic
Maximal -expansions are Bernoulli shifts
Measure preserving analytic diffeomorphisms of countable dense sets in and
Measures of maximal entropy for random -expansions
Let be a non-integer. We consider -expansions of the form , where the digits are generated by means of a Borel map defined on . We show that has a unique mixing measure of maximal entropy with marginal measure an infinite convolution of Bernoulli measures. Furthermore, under the measure the digits form a uniform Bernoulli process. In case 1 has a finite greedy expansion with positive coefficients, the measure of maximal entropy is Markov. We also discuss the uniqueness of -expansions....
Measures on self-similar sets
Mesures de Gauss pour des algorithmes de fractions continues multidimensionnelles
Mesures invariantes ergodiques pour des produits gauches
Soit un espace mesurable muni d’une transformation bijective bi-mesurable . Soit une application mesurable de dans un groupe localement compact à base dénombrable . Nous notons l’extension de , induite par , au produit . Nous donnons une description des mesures positives -invariantes et ergodiques. Nous obtenons aussi une généralisation du théorème de réduction cohomologique de O.Sarig [5] à un groupe LCD quelconque.
Mesures invariantes sur des ensembles autosimilaires
Mesures quasi-Bernoulli au sens faible : résultats et exemples
Metric properties of alternating Lüroth series
Mild law of large numbers and its consequences
Minimal generators for aperiodic endomorphisms
Every aperiodic endomorphism of a nonatomic Lebesgue space which possesses a finite 1-sided generator has a 1-sided generator such that . This is the best estimate for the minimal cardinality of a 1-sided generator. The above result is the generalization of the analogous one for ergodic case.
Minimal generators for ergodic endomorphisms
Minimal models for -actions
We prove that on a metrizable, compact, zero-dimensional space every -action with no periodic points is measurably isomorphic to a minimal -action with the same, i.e. affinely homeomorphic, simplex of measures.
Minimal Self-Joinings and Positive Topological Entropy.
Minimal self-joinings and positive topological entropy II
An effective construction of positive-entropy almost one-to-one topological extensions of the Chacón flow is given. These extensions have the property of almost minimal power joinings. For each possible value of entropy there are uncountably many pairwise non-conjugate such extensions.