Université Paris 6
Pierre et Marie Curie
Université Paris 7
Denis Diderot

CNRS U.M.R. 7599
``Probabilités et Modèles Aléatoires''

Distribution of closed geodesics on a surface, under homological constraints

Auteur(s):

Code(s) de Classification MSC:

Résumé: We discuss the distribution of geodesics on a surface. We present a transition from an exponential growth rate to a polynomial growth rate. This phenomenon is related to the convergence of a family of equilibrium measures towards geodesic laminations.

Mots Clés: ergodic theory ; geodesic flow ; surfaces ; laminations

Date: 1999-09-21

Prépublication numéro: PMA-527

Postscript file : PMA-527.ps

Compressed postscript file (by gzip) : PMA-527.ps.gz