Statistical dynamics of continuous systems: perturbative and approximative approaches

2014/02/07 by Dmitri Finkelshtein, Yuri Kondratiev, Oleksandr Kutoviy
Mathematics · Physics and Astronomy · #math-ph #math.DS #math.FA #math.MP #msc:46E30 #msc:47D06 #msc:82C21

paper · pdf · doi:10.1007/s40065-014-0111-8

arXiv admin note: text overlap with arXiv:1109.5094, arXiv:0910.4241, arXiv:1107.3487

arxiv created 2014/02/07 · arxiv updated 2015/01/27

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.

Citations

• Semigroup approach to birth-and-death stochastic dynamics in continuum
• An approximative approach to construction of the Glauber dynamics in continuum
• Correlation functions evolution for the Glauber dynamics in continuum