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arxiv: 1107.3487 · v1 · pith:FHQ222RMnew · submitted 2011-07-18 · 🧮 math-ph · math.DS· math.FA· math.MP

Correlation functions evolution for the Glauber dynamics in continuum

classification 🧮 math-ph math.DSmath.FAmath.MP
keywords evolutioncontinuumcorrelationcorrespondingdynamicsexistencefunctionsglauber
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We construct a correlation functions evolution corresponding to the Glauber dynamics in continuum. Existence of the corresponding strongly continuous contraction semigroup in a proper Banach space is shown. Additionally we prove the existence of the evolution of states and study their ergodic properties.

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