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From discrete- to continuous-time ergodic theorems

Published online by Cambridge University Press:  16 December 2011

V. BERGELSON ,
A. LEIBMAN  and
C. G. MOREIRA
V. BERGELSON
Affiliation:
Department of Mathematics, The Ohio State University, OH 43221, USA (email: vitaly@math.ohio-state.edu, leibman@math.ohio-state.edu)
A. LEIBMAN
Affiliation:
Department of Mathematics, The Ohio State University, OH 43221, USA (email: vitaly@math.ohio-state.edu, leibman@math.ohio-state.edu)
C. G. MOREIRA
Affiliation:
Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro, 22460-320, Brasil (email: gugu@impa.br)
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Abstract

We introduce methods that allow us to derive continuous-time versions of various discrete-time ergodic theorems. We then illustrate these methods by giving simple proofs and refinements of some known results as well as establishing new results of interest.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 32 , Issue 2: Daniel J. Rudolph – in Memoriam , April 2012 , pp. 383 - 426
Copyright
Copyright © Cambridge University Press 2011

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