A PROBABILISTIC APPROACH TO MARTIN BOUNDARIES FOR MANIFOLDS WITH ENDS

Authors
CRANSTON M
Citation
M. Cranston, A PROBABILISTIC APPROACH TO MARTIN BOUNDARIES FOR MANIFOLDS WITH ENDS, Probability theory and related fields, 96(3), 1993, pp. 319-334
Citations number
21
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Probability theory and related fields → ACNP
ISSN journal
01788051
Volume
96
Issue
3
Year of publication
1993
Pages
319 - 334
Database
ISI
SICI code
0178-8051(1993)96:3<319:APATMB>2.0.ZU;2-R
Abstract
We use martingale methods and coupling arguments to prove results of L i and Tam (1987) and Donnelly (1986) characterizing positive and bound ed harmonic functions, respectively, on certain manifolds with ends.