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