\textit{IP}-systems and recurrence in ergodic theory: an update

DOI10.1007/s11856-022-2435-yOpenAlexW4313334401MaRDI QIDQ2677809

Hillel Furstenberg

Publication date: 6 January 2023

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-022-2435-y

zbMATH Keywords

Hales-Jewett theoremergodic theorymultiple recurrenceSzemeredi theoremIP-system

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Ergodic theorems, spectral theory, Markov operators (37A30) Combinatorial dynamics (types of periodic orbits) (37E15) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Relations between ergodic theory and number theory (37A44)

Cites Work

• Unnamed Item
• Idempotents in compact semigroups and Ramsey theory
• An ergodic Szemerédi theorem for IP-systems and combinatorial theory
• A density version of the Hales-Jewett theorem
• Some unifying principles in Ramsey theory
• Elemental methods in ergodic Ramsey theory
• IP-systems in ergodic theory
• Simultaneous diophantine approximation and IP-sets
• Regularity and Positional Games
• An ergodic IP polynomial Szemerédi theorem