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Multifractal analysis and the variance of Gibbs measures
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Jordan, T. and Pollicott, M.. (2007) Multifractal analysis and the variance of Gibbs measures. Journal of the London Mathematical Society, Vol.76 (No.1). pp. 57-72. ISSN 0024-6107
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Official URL: http://dx.doi.org/10.1112/jlms/jdm023
Abstract
The multifractal decomposition of Gibbs measures for a conformal iterated function system is well known. We look at a finer decomposition which also takes into account the rate of convergence. This is motivated by the work of Olsen in the self-similar case. Our study of this finer decomposition involves investigation of the variance of Gibbs measures. This is a problem of independent interest.
| Item Type: | Journal Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Journal or Publication Title: | Journal of the London Mathematical Society |
| Publisher: | Oxford University Press |
| ISSN: | 0024-6107 |
| Date: | August 2007 |
| Volume: | Vol.76 |
| Number: | No.1 |
| Number of Pages: | 16 |
| Page Range: | pp. 57-72 |
| Identification Number: | 10.1112/jlms/jdm023 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/31155 |
Data sourced from Thomson Reuters' Web of Knowledge
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