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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-7,
author = {Michael Boshernitzan and Eli Glasner},
title = {On two recurrence problems},
journal = {Fundamenta Mathematicae},
volume = {205},
year = {2009},
pages = {113-138},
zbl = {1187.37020},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-7}
}
Michael Boshernitzan; Eli Glasner. On two recurrence problems. Fundamenta Mathematicae, Tome 205 (2009) pp. 113-138. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm206-0-7/