EXISTENCE OF POSITIVE HARMONIC-FUNCTIONS ON GROUPS AND ON COVERING MANIFOLDS

Authors
BOUGEROL P ELIE L
Citation
P. Bougerol et L. Elie, EXISTENCE OF POSITIVE HARMONIC-FUNCTIONS ON GROUPS AND ON COVERING MANIFOLDS, Annales de l'I.H.P. Probabilites et statistiques, 31(1), 1995, pp. 59-80
Citations number
27
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Annales de l'I.H.P. Probabilites et statistiques → ACNP
ISSN journal
02460203
Volume
31
Issue
1
Year of publication
1995
Pages
59 - 80
Database
ISI
SICI code
0246-0203(1995)31:1<59:EOPHOG>2.0.ZU;2-D
Abstract
It is shown, in particular, that a centered probability measure on a l inear group of exponential growth has non-constant positive harmonic f unctions. The same conclusion holds also for the Laplace-Beltrami oper ator on a co-compact Riemannian covering, with such a deck group.