Finite products sets and minimally almost periodic groups

DOI10.1016/j.jfa.2015.12.008zbMath1358.37009arXiv1402.4736OpenAlexW1789100819MaRDI QIDQ5963423

Donald Robertson, Vitaly Bergelson, J. C. Christopherson, Pavel Zorin-Kranich

Publication date: 19 February 2016

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4736

zbMATH Keywords

weak mixingfinite product setfinite sum setFurstenberg correspondence principlemeasurable recurrence

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Means on groups, semigroups, etc.; amenable groups (43A07) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (4)

An ergodic correspondence principle, invariant means and applications ⋮ Discordant sets and ergodic Ramsey theory ⋮ Triangles in Cartesian Squares of Quasirandom Groups ⋮ On the interplay between additive and multiplicative largeness and its combinatorial applications

Cites Work

• Unnamed Item
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• Cantor systems, piecewise translations and simple amenable groups
• Multiplicative structures in additively large sets
• WM groups and Ramsey theory
• An ergodic Szemerédi theorem for IP-systems and combinatorial theory
• Entropy and isomorphism theorems for actions of amenable groups
• Compact right topological semigroups and generalizations of almost periodicity
• Some results on nonlinear recurrence
• Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
• Finite sums from sequences within cells of a partition of N
• Lower bound in the Roth theorem for amenable groups
• Multiple recurrence for two commuting transformations
• The structure of homomorphisms of connected locally compact groups into compact groups
• Ergodic seminorms for commuting transformations and applications
• On groups with full Banach mean value
• Asymptotic Properties of Unitary Representations and Mixing
• A version of van der Waerden's theorem and a proof of Mishchenko's conjecture on homomorphisms of locally compact groups
• On the norm convergence of non-conventional ergodic averages
• A Survey of Problems in Combinatorial Number Theory
• Almost Periodic Functions in a Group. I
• Large sets of integers and hierarchy of mixing properties of measure preserving systems
• On the Ergodic Mixing Theorem

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