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On the Patterson-Sullivan measure of some discrete group of isometries

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Abstract

In this paper, we describe a large class of groups of isometries of thed-dimensional hyperbolic space. These groups may be non-geometrically finite but their Patterson-Sullivan measure is always finite.

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Authors and Affiliations

  1. Département de Mathématiques, Université de Tours I, Parc de Grandmont, 37200, Tours, France

    Marc Peigné

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  1. Marc Peigné
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Correspondence to Marc Peigné.

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Peigné, M. On the Patterson-Sullivan measure of some discrete group of isometries. Isr. J. Math. 133, 77–88 (2003). https://doi.org/10.1007/BF02773062

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  • DOI: https://doi.org/10.1007/BF02773062

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