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Random ergodic theorems and regularizing random weights

Published online by Cambridge University Press:  01 August 2003

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)

Abstract

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.

Type
Research Article
Copyright
2003 Cambridge University Press

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