Cube spaces and the multiple term return times theorem

DOI10.1017/etds.2013.9zbMath1351.37024arXiv1210.5202OpenAlexW3103417121MaRDI QIDQ2928259

Pavel Zorin-Kranich

Publication date: 7 November 2014

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

Full work available at URL: https://arxiv.org/abs/1210.5202

zbMATH Keywords

measure-preserving mapreturn timesconvergence of averages

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theorems, spectral theory, Markov operators (37A30) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (3)

Some open problems on multiple ergodic averages ⋮ Linear sequences and weighted ergodic theorems ⋮ A good universal weight for nonconventional ergodic averages in norm

Cites Work

• Nilsequences and a structure theorem for topological dynamical systems
• Uniformity seminorms on \(\ell^{\infty}\) and applications
• Pointwise theorems for amenable groups.
• Subsequence ergodic theorems for amenable groups
• Wiener-Wintner return-times ergodic theorem
• Nonconventional ergodic averages and nilmanifolds
• Pointwise characteristic factors for the multiterm return times theorem
• Proof of the Ergodic Theorem
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold

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