Pointwise characteristic factors for the multiterm return times theorem-Reference-Cited by-同舟云学术

Pointwise characteristic factors for the multiterm return times theorem

Published:2011-12-01 Issue:2 Volume:32 Page:341-360
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

ASSANI IDRIS,PRESSER KIMBERLY

Abstract

AbstractThis paper is an update and extension of a result the authors first proved in 2003. The goal of this paper is to study factors which are known to beL2-characteristic for certain non-conventional averages and prove that these factors are pointwise characteristic for the multiterm return times averages.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference18 articles.

1. A Mean Ergodic Theorem for 1/NΣNn=1f(Tnx)g(Tn2x)

2. Pointwise ergodic theorems for arithmetic sets

3. Pointwise convergence of ergodic averages along cubes

4. [8] Bourgain J. . Return time sequences of dynamical systems. Unpublished Preprint, 1988.

5. A joinings proof of Bourgain's return time theorem

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Generic properties of extensions;Ergodic Theory and Dynamical Systems;2018-03-13

2. A good universal weight for nonconventional ergodic averages in norm;Ergodic Theory and Dynamical Systems;2015-12-28

3. Pointwise characteristic factors for Wiener–Wintner double recurrence theorem;Ergodic Theory and Dynamical Systems;2015-02-11

4. Cube spaces and the multiple term return times theorem;Ergodic Theory and Dynamical Systems;2013-03-14

5. Uniformity in the Wiener-Wintner theorem for nilsequences;Discrete and Continuous Dynamical Systems;2013-01