Geodesic
When every point is either transitive or periodic
Tomasz Downarowicz1 ; Xiangdong Ye2
1 Institute of Mathematics Technical University Wybrzeże Wyspia/nskiego 27 50-370 Wrocław, Poland
2 Department of Mathematics University of Science and Technology of China Hefei, 230026 Anhui, P.R. China
Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 137-150.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study transitive non-minimal ${\mathbb N}$-actions and ${\mathbb Z}$-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.
DOI : 10.4064/cm93-1-9
Keywords: study transitive non minimal mathbb actions mathbb actions there actions whose non transitive points periodic whose topological entropy positive turns out actions obtained perturbing minimal systems under reasonable assumptions

Tomasz Downarowicz 1 ; Xiangdong Ye 2

1 Institute of Mathematics Technical University Wybrzeże Wyspia/nskiego 27 50-370 Wrocław, Poland
2 Department of Mathematics University of Science and Technology of China Hefei, 230026 Anhui, P.R. China 
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Tomasz Downarowicz; Xiangdong Ye. When every point is either transitive or periodic. Colloquium Mathematicum, Tome 93 (2002) no. 1, pp. 137-150. doi : 10.4064/cm93-1-9. http://geodesic.mathdoc.fr/articles/10.4064/cm93-1-9/

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