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Multiple recurrence for two commuting transformations

Published online by Cambridge University Press:  23 June 2010

QING CHU
QING CHU*
Affiliation:
Laboratoire d’Analyse et de Mathématiques Appliquées, UMR CNRS 8050, Université Paris-Est, 77454 Marne la Vallée cedex 2, France (email: [email protected])
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Abstract

This paper is devoted to a study of the multiple recurrence of two commuting transformations. We derive a result which is similar but not identical to that established by Bergelson, Host and Kra for one single transformation. We use the machinery of ‘magic systems’ established recently by B. Host for the proof.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 31 , Issue 3 , June 2011 , pp. 771 - 792
Copyright
Copyright © Cambridge University Press 2010

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