Multiple recurrence and convergence results associated to FPω-actions

Vitaly Bergelson*, Terence Tao, Tamar Ziegler

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Using an ergodic inverse theorem obtained in our previous paper, we obtain limit formulae for multiple ergodic averages associated with the action of (Formula Presented.). From this we deduce multiple Khintchine-type recurrence results analogous to those for ℤ-systems obtained by Bergelson, Host, and Kra, and also present some new counterexamples in this setting.

Original languageAmerican English
Pages (from-to)329-378
Number of pages50
JournalJournal d'Analyse Mathematique
Issue number1
StatePublished - 1 Sep 2015
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2015, Hebrew University Magnes Press.


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