Convergence of multiple ergodic averages along cubes for several commuting transformations

Details Convergence of multiple ergodic averages along cubes for several commuting transformations Convergence of multiple ergodic averages along cubes for several commuting transformations

2008-11-24

arxiv.org/abs/0811.3953v2

Mathematics

Dynamical Systems

Scientific paper

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.

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