Convergence of multiple ergodic averages along cubes for several commuting transformations

Qing Chu

Studia Mathematica (2010)

  • Volume: 196, Issue: 1, page 13-22
  • ISSN: 0039-3223

Abstract

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We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use relies primarily on the "magic extension" established recently by B. Host.

How to cite

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Qing Chu. "Convergence of multiple ergodic averages along cubes for several commuting transformations." Studia Mathematica 196.1 (2010): 13-22. <http://eudml.org/doc/284912>.

@article{QingChu2010,
abstract = {We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use relies primarily on the "magic extension" established recently by B. Host.},
author = {Qing Chu},
journal = {Studia Mathematica},
language = {eng},
number = {1},
pages = {13-22},
title = {Convergence of multiple ergodic averages along cubes for several commuting transformations},
url = {http://eudml.org/doc/284912},
volume = {196},
year = {2010},
}

TY - JOUR
AU - Qing Chu
TI - Convergence of multiple ergodic averages along cubes for several commuting transformations
JO - Studia Mathematica
PY - 2010
VL - 196
IS - 1
SP - 13
EP - 22
AB - We prove the norm convergence of multiple ergodic averages along cubes for several commuting transformations, and derive corresponding combinatorial results. The method we use relies primarily on the "magic extension" established recently by B. Host.
LA - eng
UR - http://eudml.org/doc/284912
ER -

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