Powers of sequences and convergence of ergodic averages

DOI10.1017/S0143385709000571zbMath1205.37014arXiv0810.1581MaRDI QIDQ3058057

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Publication date: 18 November 2010

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.1581

zbMATH Keywords

mean ergodic theoremgood sequencespointwise ergodic theoremmultiple ergodic averages

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30)

Related Items (2)

Some open problems on multiple ergodic averages ⋮ (Uniform) convergence of twisted ergodic averages

Cites Work

• Convergence of polynomial ergodic averages
• Sets of \(k\)-recurrence but not \((k+1)\)-recurrence
• On the maximal ergodic theorem for certain subsets of the integers
• Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
• Convergence of multiple ergodic averages along polynomials of several variables
• Nonconventional ergodic averages and nilmanifolds
• Ergodic averaging sequences
• Universal characteristic factors and Furstenberg averages
• Powers of sequences and recurrence
• Weakly mixing PET
• On Additive Bases (II)

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