Groupes de Schottky et comptage

Quint, Jean-François

doi:10.5802/aif.2102

Groupes de Schottky et comptage [ Schottky groups and counting ]

Quint, Jean-François

Annales de l'Institut Fourier, Volume 55 (2005) no. 2, p. 373-429

Abstract
Résumé

Let $X$ be a symmetric space of noncompact type and $Γ$ a discrete group of isometries of $X$ of Schottky type. In this paper, we give asymptotics of the orbitals counting functions associated to the action of $Γ$ on $X$ .

Soient $X$ un espace symétrique de type non compact et $Γ$ un groupe discret d’isométries de $X$ du type de Schottky. Dans cet article, nous donnons des équivalents des fonctions orbitales de comptage pour l’action de $Γ$ sur $X$ .

MR 2147895 | Zbl 1087.22010 | 3 citations in Numdam

DOI : https://doi.org/10.5802/aif.2102
Classification: 22E40, 53C35, 37D35
Keywords: Lie groups, discrete subgroups, higher rank geometry, thermodynamical formalism

@article{AIF_2005__55_2_373_0,
     author = {Quint, Jean-Fran\c cois},
     title = {Groupes de Schottky et comptage},
     journal = {Annales de l'Institut Fourier},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {55},
     number = {2},
     year = {2005},
     pages = {373-429},
     doi = {10.5802/aif.2102},
     zbl = {1087.22010},
     mrnumber = {2147895},
     language = {fr},
     url = {http://www.numdam.org/item/AIF_2005__55_2_373_0}
}

Quint, Jean-François. Groupes de Schottky et comptage. Annales de l'Institut Fourier, Volume 55 (2005) no. 2, pp. 373-429. doi : 10.5802/aif.2102. http://www.numdam.org/item/AIF_2005__55_2_373_0/

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