Dobrushin's compactness criterion for Euclidean Gibbs measures

DOI10.1016/S0034-4877(07)80078-4zbMath1160.82309MaRDI QIDQ1002145

T. V. Tsykalenko

Publication date: 24 February 2009

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Gibbs measuresDobrushin criteriatemperature loop spacesDobrushin-Lanford-Ruelle equations

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (2)

GIBBS MEASURES OF CONTINUOUS SYSTEMS: AN ANALYTIC APPROACH ⋮ Gibbs Random Fields with Unbounded Spins on Unbounded Degree Graphs

Cites Work

• Gibbs states of interacting systems of quantum anharmonic oscillators
• Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
• Stochastic processes associated with KMS states
• Gibbs measures and phase transitions
• Homogeneous random fields and statistical mechanics
• Uniqueness of Gibbs states for quantum lattice systems
• Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction
• Euclidean Gibbs measures on loop lattices: existence and a priori estimates.
• A characterization of Gibbs states of lattice boson systems
• Existence and uniqueness of DLR measures for unbounded spin systems
• Reconstruction of Kubo–Martin–Schwinger structure from Euclidean Green functions
• GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS
• KMS, ETC.
• EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS
• A QUANTUM CRYSTAL MODEL IN THE LIGHT-MASS LIMIT: GIBBS STATES
• Existence and a priori estimates for Euclidean Gibbs states
• Prescribing a System of Random Variables by Conditional Distributions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Dobrushin's compactness criterion for Euclidean Gibbs measures