Convergence of multiple ergodic averages along cubes for several commuting transformations

2008/11/24 by Chu, Qing
#37A05 #37A30 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.0811.3953

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.

Related

• Convergence of multiple ergodic averages for some commuting transformations
• Norm convergence of multiple ergodic averages for commuting transformations
• Pointwise convergence for cubic and polynomial ergodic averages of non-commuting transformations
• Pointwise convergence of some multiple ergodic averages
• Convergence of multiple ergodic averages