Convergence of multiple ergodic averages along cubes for several commuting transformations

Qing Chu

Type: Article

Publication Date: 2009-11-10

Citations: 4

DOI: https://doi.org/10.4064/sm196-1-2

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.

Locations

arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF
DataCite API - View
Studia Mathematica - View - PDF

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+	Averages along cubes for not necessarily commuting measure preserving transformations	2005	Idris Assani
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+	On the norm convergence of nonconventional ergodic averages	2008	Tim Austin
+	Lower bounds for ergodic averages	2002	A. Leibman
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