When every point is either transitive or periodic

• Autorzy: Tomasz Downarowicz , Xiangdong Ye
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 54H20: Topological dynamics
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 93
• Numer: 1
• Strony: 137-150

Daty

wydano

2002

Twórcy

autor

Tomasz Downarowicz

• Institute of Mathematics, Technical University, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Xiangdong Ye

• Department of Mathematics, University of Science and Technology of China, Hefei, 230026 Anhui, P.R. China

Identyfikatory

DOI

10.4064/cm93-1-9