Multifractal analysis and the variance of Gibbs measures

TM Jordan, M Pollicott

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Citations (Scopus)


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.
Translated title of the contributionMultifractal analysis and the variance of Gibbs measures
Original languageEnglish
Pages (from-to)57 - 72
Number of pages16
JournalJournal of the London Mathematical Society
Volume76 (1)
Publication statusPublished - Aug 2007

Bibliographical note

Publisher: Oxford University Press


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