Citation
S. Albeverio et al., A-priori estimates and existence of Gibbs measures: a simplified proof, CR AC S I, 328(11), 1999, pp. 1049-1054
Citations number
12
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442
→ ACNP
Volume
328
Issue
11
Year of publication
1999
Pages
1049 - 1054
Database
ISI
SICI code
0764-4442(19990601)328:11<1049:AEAEOG>2.0.ZU;2-U
Abstract
We prove existence and uniform a-priori estimates for Gibbs states of certa
in classical lattice systems with unbounded spins and n-particle interactio
ns. We use a characterization of Gibbs measures in terms of their Radon-Nik
odym derivatives w.r.t. local shifts of the configuration space and the cor
responding integration by parts formula. Detailed proofs are contained in [
3]. (C) Academie des Sciences/Elsevier, Paris.