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Random ergodic theorems and regularizing random weights

Published online by Cambridge University Press:  01 August 2003

SYLVAIN DURAND  and
DOMINIQUE SCHNEIDER
SYLVAIN DURAND
Affiliation:
CMLA, ENS Cachan, 61 avenue du président Wilson, 94235 Cachan Cedex, France (e-mail: sdurand@cmla.ens-cachan.fr) LAMFA (U.M.R. 6140), Université de Picardie, Jules Verne, 33, rue Saint Leu 80039 Amiens Cedex 1, France (e-mail: dominique.schneider@u-picardie.fr)
DOMINIQUE SCHNEIDER
Affiliation:
LAMFA (U.M.R. 6140), Université de Picardie, Jules Verne, 33, rue Saint Leu 80039 Amiens Cedex 1, France (e-mail: dominique.schneider@u-picardie.fr)
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Abstract

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We study the convergence of pointwise ergodic means for random subsequences, in a universal framework, together with ergodic means which are modulated by random weights. The methods used in this work mainly involve Gaussian tools, transference principles and new results on oscillation functions.

Information

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 23 , Issue 4 , August 2003 , pp. 1059 - 1092
Copyright
2003 Cambridge University Press