Distribution of orbits in $\R^2$ of a finitely generated group of $\SL(2,\R)$
Résumé
In this work, we study the asymptotic distribution of the non discrete orbits of a finitely generated group acting linearly on $\R^2$. To do this, we establish new equidistribution results for the horocyclic flow on the unitary tangent bundle of the associated surface.
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