Pointwise convergence of ergodic averages along cubes

DOI10.1007/s11854-010-0006-3zbMath1193.37005OpenAlexW1964679191MaRDI QIDQ977299

Idris Assani

Publication date: 21 June 2010

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11854-010-0006-3

zbMATH Keywords

ergodic averages

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05)

Related Items (17)

Some open problems on multiple ergodic averages ⋮ Pointwise characteristic factors for the multiterm return times theorem ⋮ Pointwise convergence for cubic and polynomial multiple ergodic averages of non-commuting transformations ⋮ Pointwise convergence of some multiple ergodic averages ⋮ Strictly ergodic models under face and parallelepiped group actions ⋮ Pointwise convergence of certain continuous-time double ergodic averages ⋮ Multilinear Wiener-Wintner type ergodic averages and its application ⋮ Large deviation principle of multiplicative Ising models on Markov-Cayley trees ⋮ Pointwise multiple averages for sublinear functions ⋮ Almost sure convergence of the multiple ergodic average for certain weakly mixing systems ⋮ Maximal multilinear operators ⋮ Note on the continuity of the projection in the Host-Kra factors ⋮ A pointwise cubic average for two commuting transformations ⋮ Pointwise convergence of multiple ergodic averages and strictly ergodic models ⋮ Pointwise characteristic factors for Wiener–Wintner double recurrence theorem ⋮ A multidimensional Szemerédi theorem for Hardy sequences of different growth ⋮ On a biparameter maximal multilinear operator

Cites Work

• Joint ergodicity and mixing
• Nonconventional ergodic averages and nilmanifolds
• Lower bounds for ergodic averages
• Universal characteristic factors and Furstenberg averages
• Maximal multilinear operators
• Polynomially Moving Ergodic Averages
• Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold
• Double recurrence and almost sure convergence.
• Convergence of multiple ergodic averages for some commuting transformations
• A new proof of Szemerédi's theorem
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