Correlation functions evolution for the Glauber dynamics in continuum
Mathematical Physics
2015-01-27 v1 Dynamical Systems
Functional Analysis
math.MP
Abstract
We construct a correlation functions evolution corresponding to the Glauber dynamics in continuum. Existence of the corresponding strongly continuous contraction semigroup in a proper Banach space is shown. Additionally we prove the existence of the evolution of states and study their ergodic properties.
Cite
@article{arxiv.1107.3487,
title = {Correlation functions evolution for the Glauber dynamics in continuum},
author = {Dmitri Finkelshtein and Yuri Kondratiev and Oleksandr Kutoviy},
journal= {arXiv preprint arXiv:1107.3487},
year = {2015}
}