Uniqueness vs. non-uniqueness for complete connections with modified majority rules
成果类型：
Article
署名作者：
Dias, J. C. A.; Friedli, S.
署名单位：
Universidade Federal de Minas Gerais
刊物名称：
PROBABILITY THEORY AND RELATED FIELDS
ISSN/ISSBN：
0178-8051
DOI：
10.1007/s00440-015-0622-z
发表日期：
2016
页码：
893-929
关键词：
摘要：
We take a closer look at a class of chains with complete connections introduced by Berger, Hoffman and Sidoravicius. In particular, 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.
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