ALMOST SURE QUASILOCALITY IN THE RANDOM CLUSTER MODEL

Authors
PFISTER CE VELDE KV
Citation
Ce. Pfister et Kv. Velde, ALMOST SURE QUASILOCALITY IN THE RANDOM CLUSTER MODEL, Journal of statistical physics, 79(3-4), 1995, pp. 765-774
Citations number
10
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of statistical physics → ACNP
ISSN journal
00224715
Volume
79
Issue
3-4
Year of publication
1995
Pages
765 - 774
Database
ISI
SICI code
0022-4715(1995)79:3-4<765:ASQITR>2.0.ZU;2-0
Abstract
We investigate the Gibbsianness of the random cluster measures mu(q,p) and ($) over tilde mu(q,p), obtained as the infinite-volume limit of finite-volume measures with free and wired boundary conditions. For q > 1, the measures are not Gibbs measures, but it turns out that the co nditional distribution on one edge, given the configuration outside th at edge, is almost surely quasilocal.