Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
type: Item
instance of: scholarly article
title: Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
zbMATH Open document ID: 0495.60057
DOI: 10.1007/BF01208480
author: Jean Bellissard
author: Raphael Høegh-Krohn
published in: Communications in Mathematical Physics
publication date: 1982-01-01T00:00:00Z
Mathematics Subject Classification ID: 60G60
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 82B26
Mathematics Subject Classification ID: 81T08
zbMATH DE Number: 3780317
zbMATH Keywords: unbounded spin systems
zbMATH Keywords: Euclidean lattice fields
zbMATH Keywords: compactness of Gibbs states
zbMATH Keywords: attractive interaction
zbMATH Keywords: global Markov property
zbMATH Keywords: thermodynamic limit
Wikidata QID: Q105583314
MaRDI profile type: Publication
cites work: Q3884351
cites work: Local and global Markoff fields
cites work: Uniqueness and the global Markov property for Euclidean fields. The case of trigonometric interactions
cites work: DLR measures for one-dimensional harmonic systems
cites work: Existence and uniqueness of DLR measures for unbounded spin systems
cites work: Q3256687
cites work: Q5571891
cites work: Gibbsian random fields for lattice systems with pairwise interactions.
cites work: The problem of uniqueness of a Gibbsian random field and the problem of phase transitions
cites work: Gibbsian random fields. The general case
cites work: Q5576569
cites work: Prescribing a System of Random Variables by Conditional Distributions
cites work: Correlation inequalities on some partially ordered sets
cites work: Phase transitions for \(\phi_2^4\) quantum fields
cites work: Decay of correlations in classical lattice models at high temperature
cites work: Construction of quantum fields from Markoff fields
cites work: The free Markoff field
cites work: The construction of stationary two-dimensional Markoff fields with an application to quantum field theory
cites work: On the derivation of the Schrödinger equation in a Riemannian manifold
cites work: Q4130180
cites work: Q5564295
cites work: Q4185090
cites work: Superstable interactions in classical statistical mechanics
cites work: Q5528072
cites work: Q3643263
cites work: Q3272826
cites work: Q3742397
full work available at URL: https://doi.org/10.1007/bf01208480
OpenAlex ID: W2025377537
description: scientific article; zbMATH DE number 3780317