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Countable state shifts and uniqueness of g-measures
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Johansson, Anders, Oberg, Anders and Pollicott, Mark. (2007) Countable state shifts and uniqueness of g-measures. American Journal of Mathematics, Vol.129 (No.6). pp. 1501-1511. ISSN 0002-9327
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Official URL: http://www.press.jhu.edu/journals/american_journal...
Abstract
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.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | American Journal of Mathematics |
| Publisher: | The Johns Hopkins University Press |
| ISSN: | 0002-9327 |
| Date: | December 2007 |
| Volume: | Vol.129 |
| Number: | No.6 |
| Number of Pages: | 11 |
| Page Range: | pp. 1501-1511 |
| Identification Number: | 10.1353/ajm.2007.0044 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/30809 |
Data sourced from Thomson Reuters' Web of Knowledge
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