Multifractal analysis for Bedford-McMullen carpets

TM Jordan, M Rams

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

12 Citations (Scopus)

Abstract

In this paper we compute the multifractal analysis for local dimensions of Bernoulli measures supported on the self-affine carpets introduced by Bedford–McMullen. This extends the work of King where the multifractal analysis is computed with strong additional separation assumptions.
Translated title of the contributionMultifractal analysis for Bedford-McMullen carpets
Original languageEnglish
Pages (from-to)147 - 156
Number of pages10
JournalMathematical Proceedings of the Cambridge Philosophical Society
Volume150, number 1
DOIs
Publication statusPublished - Jan 2011

Bibliographical note

Publisher: Cambridge University Press

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