Statistical dynamics of continuous systems: perturbative and approximative approaches
Functional Analysis
2015-01-27 v1 Mathematical Physics
Dynamical Systems
math.MP
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.
Cite
@article{arxiv.1402.1583,
title = {Statistical dynamics of continuous systems: perturbative and approximative approaches},
author = {Dmitri Finkelshtein and Yuri Kondratiev and Oleksandr Kutoviy},
journal= {arXiv preprint arXiv:1402.1583},
year = {2015}
}
Comments
arXiv admin note: text overlap with arXiv:1109.5094, arXiv:0910.4241, arXiv:1107.3487