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Multifractal analysis and the variance of Gibbs measures
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Jordan, T. and Pollicott, Mark (2007) Multifractal analysis and the variance of Gibbs measures. Journal of the London Mathematical Society, Vol.76 (No.1). pp. 57-72. doi:10.1112/jlms/jdm023 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 | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Journal of the London Mathematical Society | ||||
Publisher: | Oxford University Press | ||||
ISSN: | 0024-6107 | ||||
Official Date: | August 2007 | ||||
Dates: |
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Volume: | Vol.76 | ||||
Number: | No.1 | ||||
Number of Pages: | 16 | ||||
Page Range: | pp. 57-72 | ||||
DOI: | 10.1112/jlms/jdm023 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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