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| HAL: hal-00690104, version 2 |
| arXiv: 1204.5158 |
| Detailed view |  Export this paper |
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| Available versions: | v1 (2012-04-23) | v2 (2012-04-23) |
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| Distribution of orbits in $\R^2$ of a finitely generated group of $\SL(2,\R)$ |
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| François Maucourant 1Barbara Schapira 2 |
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| (2012) |
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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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| 1: | Institut de Recherche Mathématique de Rennes (IRMAR) |
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CNRS : UMR6625 – Université de Rennes 1 – École normale supérieure de Cachan - ENS Cachan – Institut National des Sciences Appliquées (INSA) : - RENNES – Université de Rennes II - Haute Bretagne |
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| 2: | Laboratoire Amiénois de Mathématique Fondamentale et Appliquée (LAMFA) |
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CNRS : UMR6140 – Université de Picardie Jules Verne |
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| Théorie ergodique |
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| Subject | : | Mathematics/Dynamical Systems Mathematics/Group Theory |
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| horocycle flow – fuchsian group |
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| Attached file list to this document: | ||||||||||
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| hal-00690104, version 2 | |
| http://hal.archives-ouvertes.fr/hal-00690104 | |
| oai:hal.archives-ouvertes.fr:hal-00690104 | |
| From: François Maucourant | |
| Submitted on: Monday, 23 April 2012 19:05:26 | |
| Updated on: Monday, 23 April 2012 21:39:20 | |
