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arXiv · 1204.5158

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

François Maucourant·Barbara Schapira
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Abstract

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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François Maucourant, Barbara Schapira. 2012-04-23. Distribution of orbits in $\R^2$ of a finitely generated group of $\SL(2,\R)$. https://arxiv.org/abs/1204.5158

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