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Countable state shi...
Countable state shifts and uniqueness of g-measures
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- Johansson, Anders (author)
- Högskolan i Gävle,Ämnesavdelningen för matematik och statistik,Matematik
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- Öberg, Anders, 1968- (author)
- Uppsala universitet,Analys och tillämpad matematik,Department of Mathematics, Uppsala University, Uppsala, Sweden
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- Pollicott, Mark, 1959- (author)
- University of Warwick, Coventry, England,Mathematics Institute, University of Warwick, Coventry, United Kingdom
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(creator_code:org_t)
- Project Muse, 2007
- 2007
- English.
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In: American Journal of Mathematics. - : Project Muse. - 0002-9327 .- 1080-6377. ; 129:6, s. 1501-1511
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Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- g-function
- g-measure
- Gibbs measures
- MATHEMATICS
- MATEMATIK
- Mathematical analysis
Publication and Content Type
- ref (subject category)
- art (subject category)
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