Convergence of multiple ergodic averages along cubes for several commuting transformations

STUDIA MATHEMATICA（2010）

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摘要

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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关键词

averages along cubes,commuting transformations,magic system,ergodic seminorms

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