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

Barbara Schapira (LAMFA); Fran\c{c}ois Maucourant (IRMAR)

arxiv: 1204.5158 · v1 · pith:H5RA6ZSWnew · submitted 2012-04-23 · 🧮 math.DS · math.GR

Distribution of orbits in R² of a finitely generated group of SL(2,R)

Fran\c{c}ois Maucourant (IRMAR) , Barbara Schapira (LAMFA) This is my paper

classification 🧮 math.DS math.GR

keywords distributionfinitelygeneratedgrouporbitsactingassociatedasymptotic

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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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Distribution of orbits in R² of a finitely generated group of SL(2,R)

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