Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility

Sergio Albeverio, Alexei Daletskii, Yuri Kondratiev and Michael Röckner
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Sergio Albeverio: Universität Bonn, Institut für Angewandte Mathematik
Alexei Daletskii: Universität Bonn, Institut für Angewandte Mathematik
Yuri Kondratiev: Universität Bonn, Institut für Angewandte Mathematik
Michael Röckner: Bielefeld Universität, Fakultät für Mathematik

A chapter in Recent Developments in Infinite-Dimensional Analysis and Quantum Probability, 2001, pp 27-40 from Springer

Abstract: Abstract Stochastic dynamics associated with Gibbs measures on $$M^{Z^d }$$ , where M is a compact Riemannian manifold and Z d is an integer lattice, is considered. Equivalence of its L 2-ergodicity and the extremality of the corresponding Gibbs measure is proved.

Keywords: 58B90; 58J65; 58Z05; Dirichlet form; Gibbs measure; ergodic semigroup (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-010-0842-6_2

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DOI: 10.1007/978-94-010-0842-6_2

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