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arXiv · 0811.3953

Convergence of multiple ergodic averages along cubes for several commuting transformations

Qing Chu
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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.

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Qing Chu. 2009-12-16. Convergence of multiple ergodic averages along cubes for several commuting transformations. https://arxiv.org/abs/0811.3953

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