Dirichlet forms and Dirichlet operators for infinite particle systems: Essential self-adjointness

DOI10.1063/1.532662zbMath0935.60086arXiv1001.0938OpenAlexW3102750210MaRDI QIDQ4701579

Yong Moon Park, Hyun Jae Yoo, Veni Choi

Publication date: 21 November 1999

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.0938

zbMATH Keywords

Dirichlet formsGibbs measuresDirichlet operators

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Probabilistic potential theory (60J45) Applications of operator theory in probability theory and statistics (47N30)

Related Items (5)

Nonequilibrium dynamics of infinite particle systems with infinite range interactions ⋮ EQUILIBRIUM KAWASAKI DYNAMICS OF CONTINUOUS PARTICLE SYSTEMS ⋮ On the ergodicity of interacting particle systems under number rigidity ⋮ Diffusion approximation for equilibrium Kawasaki dynamics in continuum ⋮ Dirichlet forms and diffusion processes for fermion random point fields

Cites Work

• Ergodicity of \(L^ 2\)-semigroups and extremality of Gibbs states
• On diffusion processes and their semigroups in Hilbert spaces with an application to interacting stochastic systems
• On solutions to stochastic differential equations with discontinuous drift in Hilbert space
• Equilibrium fluctuations for interacting Brownian particles
• Gradient dynamics of infinite point systems
• Selfadjointness of the Liouville operator for infinite classical systems
• Dirichlet forms and Dirichlet operators for Gibbs measures of quantum unbounded spin systems: Essential self-adjointness and log-Sobolev inequality
• Non-equilibrium dynamcis of one-dimensional infinite particle systems with a hard-core interaction
• Dirichlet operators via stochastic analysis
• Dirichlet form approach to infinite-dimensional Wiener processes with singular interactions
• Construction of infinite dimensional interacting diffusion processes through Dirichlet forms
• Superstable interactions in classical statistical mechanics
• Unendlich-dimensionale Wienerprozesse mit Wechselwirkung
• Unendlich-dimensionale Wienerprozesse mit Wechselwirkung

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