Convergence of multiple ergodic averages along cubes for several commuting transformations

• Autorzy: Qing Chu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37A30: Ergodic theorems, spectral theory, Markov operators
• 37A05: Measure-preserving transformations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2010
• Tom: 196
• Numer: 1
• Strony: 13-22

Daty

wydano

2010

Twórcy

autor

Qing Chu

• Laboratoire d'analyse et de mathématiques appliquées, Université Paris-Est, UMR CNRS 8050, 5 bd Descartes, 77454 Marne-la-Vallée Cedex 2, France

Identyfikatory

DOI

10.4064/sm196-1-2