Fluctuations and their Glauber dynamics in lattice systems

DOI10.1006/jfan.1999.3415zbMath0951.60057OpenAlexW2084831889MaRDI QIDQ1304656

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

Publication date: 18 December 2000

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

Full work available at URL: https://doi.org/10.1006/jfan.1999.3415

zbMATH Keywords

fluctuationsOrnstein-Uhlenbeck processDirichlet formsspin systems

Mathematics Subject Classification ID

Random fields (60G60) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Other physical applications of random processes (60K40)

Related Items (2)

Stochastic dynamics of fluctuations in classical continuous systems ⋮ EUCLIDEAN GIBBS STATES OF QUANTUM LATTICE SYSTEMS

Cites Work

• Ergodicity of \(L^ 2\)-semigroups and extremality of Gibbs states
• Classical Dirichlet forms on topological vector spaces - the construction of the associated diffusion process
• A covariance estimate for Gibbs measures
• Compactness and the maximal Gibbs state for random Gibbs fields on a lattice
• Decay of correlations under Dobrushin's uniqueness condition and its applications
• Glauber dynamics of fluctuations
• Gibbs measures and phase transitions
• Random fields
• Dobrushin's uniqueness for quantum lattice systems with nonlocal interaction
• Dirichlet operators via stochastic analysis
• Stochastic dynamics of fluctuations in classical continuous systems
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