Euclidean Gibbs measures on loop lattices: existence and a priori estimates.

DOI10.1214/aop/1078415832zbMath1121.82005OpenAlexW2027900099MaRDI QIDQ1879849

T. V. Tsykalenko, Michael Roeckner, Yuri G. Kondratiev, Sergio A. Albeverio

Publication date: 15 September 2004

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1078415832

Mathematics Subject Classification ID

Random fields (60G60) Applications of stochastic analysis (to PDEs, etc.) (60H30) Quantum equilibrium statistical mechanics (general) (82B10) Stochastic integrals (60H05)

Related Items (8)

Existence and a priori estimates for Euclidean Gibbs states ⋮ A phase transition in a quantum crystal with asymmetric potentials ⋮ Gibbs states of interacting systems of quantum anharmonic oscillators ⋮ Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis ⋮ Small mass implies uniqueness of Gibbs states of a quantum crystal ⋮ Euclidean Gibbs measures of interacting quantum anharmonic oscillators ⋮ Dobrushin's compactness criterion for Euclidean Gibbs measures ⋮ A hierarchical model of quantum anharmonic oscillators: critical point convergence

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