Correlation functions evolution for the Glauber dynamics in continuum

2011/07/18 by Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.DS #math.FA #math.MP

paper · pdf

published as Semigroup Forum, 2012, 85, p. 289-306

arxiv created 2011/07/18 · arxiv updated 2015/01/27

Abstract

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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• Statistical dynamics of continuous systems: perturbative and approximative approaches