Convergence of multiple ergodic averages along cubes for several commuting transformations
Dynamical Systems
2009-12-16 v2
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.
Keywords
Cite
@article{arxiv.0811.3953,
title = {Convergence of multiple ergodic averages along cubes for several commuting transformations},
author = {Qing Chu},
journal= {arXiv preprint arXiv:0811.3953},
year = {2009}
}