On two recurrence problems

Michael Boshernitzan, Eli Glasner

Research output: Contribution to journalArticlepeer-review

Abstract

We review some aspects of recurrence in topological dynamics and focus on two open problems. The first is an old one concerning the relation between Poincaré and Birkhoff recurrence; the second, due to the first author, is about moving recurrence. We provide a partial answer to a topological version of the moving recurrence problem.

Original languageEnglish
Pages (from-to)113-130
Number of pages18
JournalFundamenta Mathematicae
Volume206
Issue number1
DOIs
StatePublished - 2009

Keywords

  • Birkhoff sets
  • Bohr neighborhoods of zero
  • Moving recurrence
  • Poincaré
  • Recurrence
  • Sets
  • Syndetic sets

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