One-particle subspaces in the stochasticXY model |
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| Authors: | Yu. G. Kondratiev R. A. Minlos |
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| Affiliation: | (1) BiBoS Research Centre, D-33615 Bielefeld, Germany;(2) Institute of Mathematics, Kiev, Ukraine;(3) Institute for Information Transmission Problems, Moscow, Russia |
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| Abstract: | We study the spectrum of the generatorH of the Glauber dynamics for a model of planar rotators on a lattice in the case of a high temperature 1/. We construct two so-called one-particle subspacesH± forH and describe the spectrum of the generator in these subspaces. As a consequence we find time asymptotics of the correlations for the Glauber dynamics. |
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| Keywords: | Plane rotators stochastic dynamics invariant subspaces Dirichlet forms and operators |
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