no. 6
Dynamical Systems
The horocycle flow without minimal sets
[Le flot horicyclique sans ensemble minimal]

Présenté par : Étienne Ghys

Kulikov, M.1
1 Theory of Dynamical Systems, Mathematics Department, Moscow State University, Moscow, 119992, Russia
Comptes Rendus. Mathématique, Tome 338 (2004) no. 6, pp. 477-480.

On construit un exemple de groupe Fuchsien pour lequel le flot horocyclique est sans ensemble minimal.

We construct an example of a Fuchsian group such that the corresponding horocycle flow has no minimal sets.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2003.12.027
Kulikov, M. 1

1 Theory of Dynamical Systems, Mathematics Department, Moscow State University, Moscow, 119992, Russia 
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Kulikov, M. The horocycle flow without minimal sets. Comptes Rendus. Mathématique, Tome 338 (2004) no. 6, pp. 477-480. doi : 10.1016/j.crma.2003.12.027. http://www.numdam.org/articles/10.1016/j.crma.2003.12.027/

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☆ This work is supported by grant No. NSh-457.2003.1 of The Ministry of Industry and Science of Russia.