Uniqueness of the stochastic dynamics for continuous spin systems on a lattice

DOI10.1006/jfan.1995.1115zbMath0853.60083OpenAlexW2093303864MaRDI QIDQ1908092

Yuri G. Kondratiev, Sergio A. Albeverio, Michael Roeckner

Publication date: 16 December 1996

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1995.1115

zbMATH Keywords

infinite products of compact Riemannian manifoldsuniqueness of the stochastic dynamics associated with Gibbs measure

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Diffusion processes and stochastic analysis on manifolds (58J65)

Related Items (9)

Infinite systems of stochastic differential equations and some lattice models on compact Riemannian manifolds ⋮ Sergio's work in statistical mechanics: from quantum particles to geometric stochastic analysis ⋮ Uniqueness of Fokker-Planck equations for SPIN lattice systems. I: compact case ⋮ Uniqueness of Fokker-Planck equations for spin lattice systems. II: Non-compact case ⋮ STOCHASTIC EQUATIONS AND DIRICHLET OPERATORS ON INFINITE PRODUCT MANIFOLDS ⋮ GLAUBER DYNAMICS FOR QUANTUM LATTICE SYSTEMS ⋮ One-particle subspaces in the stochastic \(XY\) model ⋮ Asymptotic formula for the decay of correlations in the stochastic model of planar rotators at high temperature ⋮ Stochastic analysis on product manifolds: Dirichlet operators on differential forms

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