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Convergence and Counting in Infinite Measure

Françoise Dal'Bo-Milonet 1 Marc Peigné 2 Jean-Claude Picaud 2 Andrea Sambusetti 3
1 IRMAR - Institut de Recherche Mathématique de Rennes
2 LMPT - Laboratoire de Mathématiques et Physique Théorique
3 Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome]
Abstract : We construct negatively curved and non compact finite volume manifolds which are of divergent type without the critical gap property. We investigate the behavior of the counting function associated to their fundamental group.
Mots-clés : exposant de Poincaré groupe convergent/divergent mesure de Bowen-Margulis fonction orbitale
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IRMAR | UNIV-RENNES1 | CNRS | INSMI | LMPT | CHL | IRMAR-GAN | TDS-MACS | UNAM | UR1-MATH-STIC | UNIV-RENNES2 | UR2-HB | UNIV-TOURS | UNIV-RENNES | IDP | INSA-GROUPE | INSA-RENNES | UR1-MATH-NUM

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Françoise Dal'Bo-Milonet, Marc Peigné, Jean-Claude Picaud, Andrea Sambusetti. Convergence and Counting in Infinite Measure. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2017, 67 (2), pp.483-520. ⟨10.5802/aif.3089⟩. ⟨hal-01127737⟩

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