Invariant measures for spatial contact model in small dimensions
Mathematical Physics
2019-11-06 v2 math.MP
Abstract
We study invariant measures of continuous contact model in small dimensional spaces (). Under general conditions we prove that in the critical regime this system has the one-parameter set of invariant measures parametrized by the spatial density of particles. Also for broad class of initial states we prove the convergence to one of these invariant measures.
Keywords
Cite
@article{arxiv.1812.00795,
title = {Invariant measures for spatial contact model in small dimensions},
author = {Yuri Kondratiev and Oleksandr Kutoviy and Sergey Pirogov and Elena Zhizhina},
journal= {arXiv preprint arXiv:1812.00795},
year = {2019}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1601.07841