ERGODICITY OF SPITZER RENEWAL MODEL

Authors
SIDORAVICIUS V VARES ME
Citation
V. Sidoravicius et Me. Vares, ERGODICITY OF SPITZER RENEWAL MODEL, Stochastic processes and their applications, 55(1), 1995, pp. 119-130
Citations number
8
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Stochastic processes and their applications → ACNP
ISSN journal
03044149
Volume
55
Issue
1
Year of publication
1995
Pages
119 - 130
Database
ISI
SICI code
0304-4149(1995)55:1<119:EOSRM>2.0.ZU;2-8
Abstract
Answering a question raised in Andjel and Vares (1992), we prove the e rgodicity of the infinite-dimensional renewal process whose coordinate s are indexed by Z(d) and whose failure rate at any given site is the average of the ages of its neighbors plus a positive constant c, for a ny d greater than or equal to 1, c > 0. The main point is to prove the convergence of zero boundary Gibbs measures as the volume tends to Z( d). This also yields uniqueness of Gibbs measures.