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Countable state shifts and uniqueness of g-measures
University of Gävle, Department of Mathematics, Natural and Computer Sciences, Ämnesavdelningen för matematik och statistik. (Matematik)
Department of Mathematics, Uppsala University, Uppsala, Sweden.
Mathematics Institute, University of Warwick, Coventry, United Kingdom.
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 $g \geq 0$, relaxing the earlier requirement that $\inf g>0$.

Place, publisher, year, edition, pages
2007. Vol. 129, no 6, 1501-1511 p.
Keyword [en]
Ergodic theory, Markov shifts, g-measures
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:hig:diva-2053DOI: 10.1353/ajm.2007.0044ISI: 000251835900002Scopus ID: 2-s2.0-38049098330OAI: oai:DiVA.org:hig-2053DiVA: diva2:118715
Available from: 2008-06-19 Created: 2008-06-19 Last updated: 2016-10-28Bibliographically approved

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CiteExportLink to record
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