Weyl chamber flow on irreducible quotients of products of PSL(2,R)

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We study the topological dynamics of the action of the diagonal subgroup on quotients Gamma\PSL(2,R)*PSL(2,R), where Gamma is an irreducible lattice. Closed orbits are described and a set of points of dense orbit is explicitly given. Such properties are expressed using the Furstenberg boundary of the symmetric space H*H.
18 pages, 2 figures

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Dynamical Systems, 54H20; 37C85; 37B05

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http://salesiana.dossiersoluciones.com/handle/123456789/71158

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405224
 http://arxiv.org/abs/math/0405224

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arXiv