Markov evolutions and hierarchical equations in the continuum I. One-component systems
Mathematical Physics
2010-02-10 v1 math.MP
Abstract
General birth-and-death as well as hopping stochastic dynamics of infinite particle systems in the continuum are considered. We derive corresponding evolution equations for correlation functions and generating functionals. General considerations are illustrated in a number of concrete examples of Markov evolutions appearing in applications.
Cite
@article{arxiv.0707.0619,
title = {Markov evolutions and hierarchical equations in the continuum I. One-component systems},
author = {Dmitri L. Finkelshtein and Yuri G. Kondratiev and Maria Joao Oliveira},
journal= {arXiv preprint arXiv:0707.0619},
year = {2010}
}
Comments
47 pages