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Countable state shifts and uniqueness of g-measures
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Analysis and Applied Mathematics.
University of Warwick, Coventry, England.
2007 (English)In: American Journal of Mathematics, ISSN 0002-9327, E-ISSN 1080-6377, Vol. 129, no 6, 1501-1511 p.Article in journal (Refereed) Published
Abstract [en]

In this paper we present a new approach to studying g-measures which is based upon local absolute continuity. We extend an earlier result that square summability of variations of g ensures uniqueness of g-measures. The first extension is to the case of countably many symbols. The second extension is to some cases where g >= 0, relaxing the earlier requirement that inf g > 0.

Place, publisher, year, edition, pages
2007. Vol. 129, no 6, 1501-1511 p.
Keyword [en]
g-function, g-measure, Gibbs measures
National Category
URN: urn:nbn:se:uu:diva-22887DOI: 10.1353/ajm.2007.0044ISI: 000251835900002OAI: oai:DiVA.org:uu-22887DiVA: diva2:50660
Available from: 2008-08-16 Created: 2008-08-16 Last updated: 2010-07-02Bibliographically approved

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