Product set phenomena for countable groups

DOI10.1016/j.aim.2015.02.005zbMath1395.37008arXiv1309.4262OpenAlexW2964283723MaRDI QIDQ2018668

Alexander Fish, Michael Björklund

Publication date: 25 March 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4262

zbMATH Keywords

topological dynamicsadditive combinatoricsrandom walks on groupsergodic Ramsey theory

Mathematics Subject Classification ID

Additive bases, including sumsets (11B13) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Harmonic analysis and almost periodicity in probabilistic number theory (11K70) Random walks on graphs (05C81)

Related Items (6)

Approximate invariance for ergodic actions of amenable groups ⋮ An inverse theorem for an inequality of Kneser ⋮ Bohr sets in sumsets II: countable abelian groups ⋮ Plünnecke inequalities for measure graphs with applications ⋮ Characteristic polynomial patterns in difference sets of matrices ⋮ Product set phenomena for measured groups

Cites Work

• Sumset phenomenon in countable amenable groups
• Ergodic theorems. With a supplement by Antoine Brunel
• Random walks on discrete groups: Boundary and entropy
• Ergodic and mixing random walks on locally compact groups
• Sumsets of dense sets and sparse sets
• On dense free subgroups of Lie groups
• Nonstandard analysis and the sumset phenomenon in arbitrary amenable groups
• Ergodic transformation groups with a pure point spectrum
• The sumset phenomenon
• A Course in Commutative Banach Algebras
• Generalization of a theorem of Bogolioùboff to topological groups. With an appendix on Banach mean values in nonabelian groups
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