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 UNIROMA - Università degli Studi di Roma "La Sapienza" = Sapienza University [Rome]

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

Domaines: Systèmes dynamiques [math.DS]

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