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

Authors
  • Maucourant, François
  • Schapira, Barbara
Type
Preprint
Publication Date
Apr 23, 2012
Submission Date
Apr 23, 2012
Identifiers
arXiv ID: 1204.5158
Source
arXiv
License
Yellow
External links

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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