Geodesic
Stationary measures and invariant subsets of homogeneous spaces (III)
Yves Benoist1 ; Jean-François Quint2
1 CNRS -- Université Paris-Sud, Orsay, France
2 CNRS -- Universit&#233 Bordeaux 1, Talence France
Annals of mathematics, Tome 178 (2013) no. 3, pp. 1017-1059.

Voir la notice de l'article provenant de la source Annals of Mathematics website

Let $G$ be a real Lie group, $\Lambda$ be a lattice in $G$ and $\Gamma$ be a compactly generated closed subgroup of $G$. If the Zariski closure of the group $\mathrm{Ad} (\Gamma)$ is semisimple with no compact factor, we prove that every $\Gamma$-orbit closure in $G/\Lambda$ is a finite volume homogeneous space. We also establish related equidistribution properties.
DOI : 10.4007/annals.2013.178.3.5

Yves Benoist 1 ; Jean-François Quint 2

1 CNRS -- Université Paris-Sud, Orsay, France
2 CNRS -- Universit&#233 Bordeaux 1, Talence France 
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Yves Benoist; Jean-François Quint. Stationary measures and invariant subsets of homogeneous spaces (III). Annals of mathematics, Tome 178 (2013) no. 3, pp. 1017-1059. doi : 10.4007/annals.2013.178.3.5. http://geodesic.mathdoc.fr/articles/10.4007/annals.2013.178.3.5/

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