On two recurrence problems

Mathematics – Dynamical Systems

Scientific paper

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Scientific paper

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.

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