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arXiv · 1402.1583

Statistical dynamics of continuous systems: perturbative and approximative approaches

Dmitri Finkelshtein·Yuri Kondratiev·Oleksandr Kutoviy
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Abstract

We discuss general concept of Markov statistical dynamics in the continuum. For a class of spatial birth-and-death models, we develop a perturbative technique for the construction of statistical dynamics. Particular examples of such systems are considered. For the case of Glauber type dynamics in the continuum we describe a Markov chain approximation approach that gives more detailed information about statistical evolution in this model.

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Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy. 2014-02-07. Statistical dynamics of continuous systems: perturbative and approximative approaches. https://doi.org/10.1007/s40065-014-0111-8

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