vix.ing · top · new · best · stats · spec

On two recurrence problems

2009/02/23 by Michael Boshernitzan, Eli Glasner, Boshernitzan, Michael +1
Mathematics · #37B20 #54H20 #Combinatorics (math.CO) #Dynamical Systems (math.DS) #FOS: Mathematics #Graph theory and applications #Limits and Structures in Graph Theory #Mathematical Dynamics and Fractals #math.CO #math.DS #msc:37B20 #msc:54H20

paper · pdf · doi:10.48550/arxiv.0902.3931

arxiv created 2009/02/23 · openalex publication_date 2009/02/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 Poincare and Birkhoff recurrence; the second, due to Boshernitzan, is about moving recurrence. We provide a partial answer to a topological version of the moving recurrence problem.

Citations

Related