On two recurrence problems

Michael Boshernitzan, and Eli Glasner. "On two recurrence problems." Fundamenta Mathematicae 206.1 (2009): 113-138. <http://eudml.org/doc/283026>.

@article{MichaelBoshernitzan2009,
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.},
author = {Michael Boshernitzan, Eli Glasner},
journal = {Fundamenta Mathematicae},
keywords = {recurrence; moving recurrence; syndetic sets; Birkhoff sets; Poincaré sets; Bohr neighborhoods of zero},
language = {eng},
number = {1},
pages = {113-138},
title = {On two recurrence problems},
url = {http://eudml.org/doc/283026},
volume = {206},
year = {2009},
}

TY - JOUR
AU - Michael Boshernitzan
AU - Eli Glasner
TI - On two recurrence problems
JO - Fundamenta Mathematicae
PY - 2009
VL - 206
IS - 1
SP - 113
EP - 138
AB - 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.
LA - eng
KW - recurrence; moving recurrence; syndetic sets; Birkhoff sets; Poincaré sets; Bohr neighborhoods of zero
UR - http://eudml.org/doc/283026
ER -