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

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

2004-05-12

arxiv.org/abs/math/0405224v1

Mathematics

Dynamical Systems

18 pages, 2 figures

Scientific paper

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.

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