Schottky groups and counting

Jean-François Quint[1]

  • [1] Université Paris VII Denis Diderot, Institut de mathématique de Jussieu, case 7012, 2 place Jussieu, 75251 Paris cedex 05 (France)

Annales de l’institut Fourier (2005)

  • Volume: 55, Issue: 2, page 373-429
  • ISSN: 0373-0956

Abstract

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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 .

How to cite

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Quint, Jean-François. "Groupes de Schottky et comptage." Annales de l’institut Fourier 55.2 (2005): 373-429. <http://eudml.org/doc/116195>.

@article{Quint2005,
abstract = {Soient $X$ un espace symétrique de type non compact et $\Gamma $ 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 $\Gamma $ sur $X$.},
affiliation = {Université Paris VII Denis Diderot, Institut de mathématique de Jussieu, case 7012, 2 place Jussieu, 75251 Paris cedex 05 (France)},
author = {Quint, Jean-François},
journal = {Annales de l’institut Fourier},
keywords = {Lie groups; discrete subgroups; higher rank geometry; thermodynamical formalism},
language = {fre},
number = {2},
pages = {373-429},
publisher = {Association des Annales de l'Institut Fourier},
title = {Groupes de Schottky et comptage},
url = {http://eudml.org/doc/116195},
volume = {55},
year = {2005},
}

TY - JOUR
AU - Quint, Jean-François
TI - Groupes de Schottky et comptage
JO - Annales de l’institut Fourier
PY - 2005
PB - Association des Annales de l'Institut Fourier
VL - 55
IS - 2
SP - 373
EP - 429
AB - Soient $X$ un espace symétrique de type non compact et $\Gamma $ 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 $\Gamma $ sur $X$.
LA - fre
KW - Lie groups; discrete subgroups; higher rank geometry; thermodynamical formalism
UR - http://eudml.org/doc/116195
ER -

References

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