Uniqueness vs non-uniqueness in complete connections with modified majority rules
Probability
2013-10-01 v1
Abstract
We take a closer look at a class of chains with complete connections introduced by Berger, Hoffman and Sidoravicius. Besides giving a sharper description of the uniqueness and non-uniqueness regimes, we show that if the pure majority rule used to fix the dependence on the past is replaced with a function that is Lipschitz at the origin, then uniqueness always holds, even with arbitrarily slow decaying variation.
Cite
@article{arxiv.1309.7550,
title = {Uniqueness vs non-uniqueness in complete connections with modified majority rules},
author = {J. C. A. Dias and S. Friedli},
journal= {arXiv preprint arXiv:1309.7550},
year = {2013}
}
Comments
34 pages, 10 figures