Statistical dynamics of continuous systems: perturbative and   approximative approaches
  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. 
Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
math.FA math-ph math.DS math.MP