Lower bound in the Roth theorem for amenable groups

DOI10.1017/etds.2014.13zbMath1352.37005arXiv1309.6095OpenAlexW3103864801MaRDI QIDQ2942566

Qing Chu, Pavel Zorin-Kranich

Publication date: 11 September 2015

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

Full work available at URL: https://arxiv.org/abs/1309.6095

zbMATH Keywords

amenable groupsyndetic setmeasure-preserving actionssated system

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Means on groups, semigroups, etc.; amenable groups (43A07) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (5)

Some open problems on multiple ergodic averages ⋮ Quantitative multiple recurrence for two and three transformations ⋮ An uncountable ergodic Roth theorem and applications ⋮ Triangles in Cartesian Squares of Quasirandom Groups ⋮ Finite products sets and minimally almost periodic groups

Cites Work

• Unnamed Item
• A correspondence principle between (hyper)graph theory and probability theory, and the (hyper)graph removal Lemma
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Multiple recurrence and nilsequences (with an appendix by Imre Ruzsa)
• Multiple recurrence for two commuting transformations
• Ergodic seminorms for commuting transformations and applications
• Multiple ergodic averages for three polynomials and applications
• On the norm convergence of non-conventional ergodic averages
• A Roth theorem for amenable groups.
• On Certain Sets of Integers

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