Cube spaces and the multiple term return times theorem-Reference-Cited by-同舟云学术

Cube spaces and the multiple term return times theorem

Published:2013-03-14 Issue:5 Volume:34 Page:1747-1760
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

ZORIN-KRANICH PAVEL

Abstract

AbstractWe give a new proof of Rudolph’s multiple term return times theorem based on Host–Kra structure theory. Our approach provides characteristic factors for all terms, works for arbitrary tempered Følner sequences and also yields a multiple term Wiener–Wintner-type return times theorem for nilsequences.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference16 articles.

1. [AP12a] Assani I. and Presser K. . A survey of the return times theorem. ArXiv e-prints, 1209.0856. To appear in I. Assani (Ed.). Ergodic Theory and Dynamical Systems: Proceedings of the Ergodic Theory Workshops at University of North Corolina at Chapel Hill, 2011–2012. De Gruyter, 2013.

2. Eigenfunctions of T x S and the Conze-Lesigne algebra

3. Pointwise theorems for amenable groups

4. Subsequence ergodic theorems for amenable groups

5. Uniformity seminorms on ℓ∞ and applications

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