Poincaré recurrence and number theory: thirty years later

DOI10.1090/S0273-0979-2011-01343-XzbMath1417.37025OpenAlexW1989769190MaRDI QIDQ3094408

Bryna Kra

Publication date: 25 October 2011

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-2011-01343-x

zbMATH Keywords

Ramsey theoryFurstenberg correspondence principlePoincaré recurrence theoremmultiple recurrence theorem

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Special sequences and polynomials (11B83) Ramsey theory (05D10) Combinatorial dynamics (types of periodic orbits) (37E15) Research exposition (monographs, survey articles) pertaining to dynamical systems and ergodic theory (37-02) Relations between ergodic theory and number theory (37A44)

Related Items (4)

Some open problems on multiple ergodic averages ⋮ Rigidity and non-recurrence along sequences ⋮ Additive Combinatorics: With a View Towards Computer Science and Cryptography—An Exposition ⋮ A multidimensional Szemerédi theorem for Hardy sequences of different growth

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