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arXiv · 0909.0210

Multifractal analysis for Bedford-McMullen carpets

Thomas Jordan·Michal Rams
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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.

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Thomas Jordan, Michal Rams. 2009-11-05. Multifractal analysis for Bedford-McMullen carpets. https://arxiv.org/abs/0909.0210

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