arXiv Analytics

Sign in

arXiv:0912.3381 [math.DS]AbstractReferencesReviewsResources

Multiple recurrence for two commuting transformations

Qing Chu

Published 2009-12-17Version 1

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 of one single transformation established by Bergelson, Host and Kra. We will use the machinery of "magic systems" established recently by B. Host for the proof.

Related articles: Most relevant | Search more
arXiv:0811.3703 [math.DS] (Published 2008-11-22)
Ergodic seminorms for commuting transformations and applications
arXiv:1603.00631 [math.DS] (Published 2016-03-02)
Norm-variation of ergodic averages with respect to two commuting transformations
arXiv:2111.01518 [math.DS] (Published 2021-11-02, updated 2023-01-11)
Multiple recurrence and convergence without commutativity