When every point is either transitive or periodic
Tomasz Downarowicz; Xiangdong Ye
Colloquium Mathematicae (2002)
- Volume: 93, Issue: 1, page 137-150
- ISSN: 0010-1354
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topTomasz Downarowicz, and Xiangdong Ye. "When every point is either transitive or periodic." Colloquium Mathematicae 93.1 (2002): 137-150. <http://eudml.org/doc/284648>.
@article{TomaszDownarowicz2002,
abstract = {We study transitive non-minimal ℕ-actions and ℤ-actions. We show that there are such actions whose non-transitive points are periodic and whose topological entropy is positive. It turns out that such actions can be obtained by perturbing minimal systems under some reasonable assumptions.},
author = {Tomasz Downarowicz, Xiangdong Ye},
journal = {Colloquium Mathematicae},
keywords = {transitivity; minimality; periodicity; positive entropy},
language = {eng},
number = {1},
pages = {137-150},
title = {When every point is either transitive or periodic},
url = {http://eudml.org/doc/284648},
volume = {93},
year = {2002},
}
TY - JOUR
AU - Tomasz Downarowicz
AU - Xiangdong Ye
TI - When every point is either transitive or periodic
JO - Colloquium Mathematicae
PY - 2002
VL - 93
IS - 1
SP - 137
EP - 150
AB - We study transitive non-minimal ℕ-actions and ℤ-actions. We show that there are such actions whose non-transitive points are periodic and whose topological entropy is positive. It turns out that such actions can be obtained by perturbing minimal systems under some reasonable assumptions.
LA - eng
KW - transitivity; minimality; periodicity; positive entropy
UR - http://eudml.org/doc/284648
ER -
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