Correlation functions evolution for the Glauber dynamics in continuum |
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| Authors: | Dmitri Finkelshtein Yuri Kondratiev Oleksandr Kutoviy |
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| Institution: | 1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev, Ukraine
2. Fakult?t f??r Mathematik, Universit?t Bielefeld, 33615, Bielefeld, Germany
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| 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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