ON THE CORRELATION FOR KAC-LIKE MODELS IN THE CONVEX CASE

Citation
B. Helffer et J. Sjostrand, ON THE CORRELATION FOR KAC-LIKE MODELS IN THE CONVEX CASE, Journal of statistical physics, 74(1-2), 1994, pp. 349-409
Citations number
31
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
ISSN journal
00224715
Volume
74
Issue
1-2
Year of publication
1994
Pages
349 - 409
Database
ISI
SICI code
0022-4715(1994)74:1-2<349:OTCFKM>2.0.ZU;2-B
Abstract
The aim of this paper is to study the behavior as m tends to infinity of a family of measures exp[ - PSI(m)(x)] dx(m) on R(m), where PSI(m) is a potential on R(m) which is a perturbation ''in a suitable sense' of the harmonic potential SIGMA(j) x(j)2.