Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds

DOI10.1007/BF01058790zbMath0941.47020OpenAlexW2058068154MaRDI QIDQ4940557

Alexander Val. Antoniouk, O. Vict. Antonyuk, Yuri G. Kondratiev

Publication date: 2 March 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01058790

zbMATH Keywords

stochastic dynamicsGibbs measureessential selfadjointnessquantum lattice systemDirichlet operatorinfinite product of compact Riemannian manifolds

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Probabilistic potential theory (60J45) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Linear accretive operators, dissipative operators, etc. (47B44)

This page was built for publication: Essential self-adjointness of Dirichlet operators of Gibbs measures on infinite products of manifolds