Stochastic Dynamics of Compact Spins: Ergodicity and Irreducibility |
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| Authors: | Sergio Albeverio Alexei Daletskii Yuri Kondratiev Michael Röckner |
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| Institution: | (1) Institut für Angewandte Mathematik, Universitä Bonn, D-53115 Bonn, Germany;(2) Fakultät für Mathematik, Bielefeld Universität, D-33615 Bielefeld, Germany |
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| 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. |
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| Keywords: | Dirichlet form Gibbs measure ergodic semigroup |
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