Sets of transfer times with small densities

DOI10.5802/jep.147zbMath1467.37002arXiv1912.08999OpenAlexW3126611994MaRDI QIDQ1996827

Alexander Fish, Michael Björklund, Ilya D. Shkredov

Publication date: 26 February 2021

Published in: Journal de l'École Polytechnique -- Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.08999

zbMATH Keywords

sumsetsinverse theoremsreturn times

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Additive bases, including sumsets (11B13) General groups of measure-preserving transformations and dynamical systems (37A15) Measurable group actions (22F10) General theory of group and pseudogroup actions (22F05) Relations between ergodic theory and number theory (37A44)

Related Items (1)

Direct and inverse results for popular differences in trees of positive dimension

Cites Work

• Summenmengen in lokalkompakten abelschen Gruppen
• On the maximal ergodic theorem for certain subsets of the integers
• Abschätzung der asymptotischen Dichte von Summenmengen
• Ergodic theorems along sequences and Hardy fields.
• Approximate invariance for ergodic actions of amenable groups

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