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arXiv:0909.0210 [math.DS]AbstractReferencesReviewsResources

Multifractal analysis for Bedford-McMullen carpets

Thomas Jordan, Michal Rams

Published 2009-09-01, updated 2009-11-05Version 2

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.

Comments: 11 pages. We have added more detail to the proofs of lemmas 2,3 and 4 as well as correcting a few errors
Categories: math.DS
Subjects: 37C45
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