Statistical dynamics of continuous systems: perturbative and approximative approaches

Finkelshtein D, Kondratiev Y, Kutoviy O. Statistical dynamics of continuous systems: perturbative and approximative approaches. Arabian Journal of Mathematics. 2015;4(4):255-300.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