Distribution of orbits in $\R^2$ of a finitely generated group of $\SL(2,\R)$

Details Distribution of orbits in $\R^2$ of a finitely generated group of $\SL(2,\R)$ Distribution of orbits in $\R^2$ of a finitely generated group of $\SL(2,\R)$

2012-04-23

arxiv.org/abs/1204.5158v1

Mathematics

Dynamical Systems

Scientific paper

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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