Corners Over Quasirandom Groups

DOI10.1017/S0963548317000190zbMath1373.05200arXiv1507.00844MaRDI QIDQ5373836

Pavel Zorin-Kranich

Publication date: 27 October 2017

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00844

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Ramsey theory (05D10)

Cites Work

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• Non-conventional ergodic averages for several commuting actions of an amenable group
• A variant of the hypergraph removal lemma
• An ergodic Szemerédi theorem for commuting transformations
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• Multiple recurrence in quasirandom groups
• Hypergraph regularity and the multidimensional Szemerédi theorem
• Ajtai–Szemerédi Theorems over quasirandom groups
• Quasirandom Groups
• On sets of integers containing k elements in arithmetic progression
• A Roth theorem for amenable groups.
• Quantitative Equidistribution for Certain Quadruples in Quasi-Random Groups
• Triangles in Cartesian Squares of Quasirandom Groups
• On Certain Sets of Integers

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