Processus abéliens associés à un semi-groupe.
Processus stationnaires et mesures de Palm du flot spécial sous une fonction
Produits semi-directs et application aux nilvariétés et aux tores en théorie ergodique
Properties of Wiener-Wintner dynamical systems
In this paper we prove the following results. First, we show the existence of Wiener-Wintner dynamical system with continuous singular spectrum in the orthocomplement of their respective Kronecker factors. The second result states that if , large enough, is a Wiener-Wintner function then, for all , there exists a set of full measure for which the series converges uniformly with respect to .
Propriétés ergodiques des mesures de Sinaï
Propriétés ergodiques des suites -multiplicatives
Pseudo-Markov transformations
Quantitative recurrence results.
Quasi-compacité de contractions positives d’un espace (suivant Brunel et Revuz)
Quasi-compactness and uniform ergodicity of Markov operators
Quelques remarques sur les facteurs des systèmes dynamiques gaussiens
We study the factors of Gaussian dynamical systems which are generated by functions depending only on a finite number of coordinates. As an application, we show that for Gaussian automorphisms with simple spectrum, the partition is generating.
Quelques résultats sur les opérateurs positifs à moyennes bornées dans
Random dynamics and its applications.
Random ergodic theorems for sub-Markovian operators
Random ergodic theorems with universally representative sequences
Range of density measures
We investigate some properties of density measures – finitely additive measures on the set of natural numbers extending asymptotic density. We introduce a class of density measures, which is defined using cluster points of the sequence as well as cluster points of some other similar sequences. We obtain range of possible values of density measures for any subset of . Our description of this range simplifies the description of Bhashkara Rao and Bhashkara Rao [Bhaskara Rao, K. P. S., Bhaskara Rao,...
Rank and spectral multiplicity
For a dynamical system (X,T,μ), we investigate the connections between a metric invariant, the rank r(T), and a spectral invariant, the maximal multiplicity m(T). We build examples of systems for which the pair (m(T),r(T)) takes values (m,m) for any integer m ≥ 1 or (p-1, p) for any prime number p ≥ 3.
Rank is not a spectral invariant
Rank-one group actions with simple mixing -subactions.
Rate of convergence of conditional entropies for some maps of an interval