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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Finkelshtein, D., Kondratiev, Y. & Kutoviy, O. Statistical dynamics of continuous systems: perturbative and approximative approaches. Arab. J. Math. 4, 255–300 (2015). https://doi.org/10.1007/s40065-014-0111-8
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DOI: https://doi.org/10.1007/s40065-014-0111-8