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Uniqueness in g-measures

Stenflo, Orjan


Using coupling techniques extending ideas from Harris (1955 Pacific J. Math. 5 707-24), we prove uniqueness in g-measures and give estimates of the rates of convergence for the associated Markov chains, for strictly positive continuous g-functions under a weak regularity condition. Our regularity condition is weaker than the earlier weakest known conditions for uniqueness (Harris T E 1955 Pacific J. Math. 5 707-24; Iosifescu M and Spǎtaru A 1973 Z. Wahrscheinlichkeitstheorie und Verw. Gebiete...[Show more]

CollectionsANU Research Publications
Date published: 2003
Type: Journal article
Source: Nonlinearity
DOI: 10.1088/0951-7715/16/2/301


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