Uniqueness vs non-uniqueness in complete connections with modified majority rules

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 fun...

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Bibliographic Details
Published in:arXiv.org 2013-09
Main Authors: Dias, J C A, Friedli, S
Format: Article
Language:English
Subjects:
Decay rate
Dependence
Uniqueness
Online Access:Get full text
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Summary: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.
ISSN:2331-8422