Summary
The paper is devoted to stochastic equations describing the evolution of classical and quantum unbounded spin systems on discrete lattices and on Euclidean spaces. Existence and asymptotic properties of the corresponding transition semigroups are studied in a unified way using the theory of dissipative operators on weighted Hilbert and Banach spaces. This paper is an enlarged and rewritten version of the paper [7].
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Partially supported by the Italian National Project MURST “Problemi nonlinearinell' Analisi...” and by DRET under contract 901636/A000/DRET/DSISR.
Partially sponsored by the KBN grant 2 2003 91 02 and by the KBN grant 2PO3A 082 08
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Da Prato, G., Zabczyk, J. Convergence to equilibrium for classical and quantum spin systems. Probab. Th. Rel. Fields 103, 529–552 (1995). https://doi.org/10.1007/BF01246338
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DOI: https://doi.org/10.1007/BF01246338