Interacting two-state Markov chains on undirected networks
Dynamical Systems
2015-06-09 v2 Probability
Abstract
It is shown that irreducible two-state continuous-time Markov chains interacting on a network in a bilinear fashion have a unique stable steady state. The proof is elementary and uses the relative entropy function.
Cite
@article{arxiv.1412.0700,
title = {Interacting two-state Markov chains on undirected networks},
author = {Maung Min-Oo},
journal= {arXiv preprint arXiv:1412.0700},
year = {2015}
}
Comments
9 pages; minor typos corrected