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arxiv: 0909.0210 · v2 · submitted 2009-09-01 · 🧮 math.DS

Multifractal analysis for Bedford-McMullen carpets

classification 🧮 math.DS
keywords analysismultifractalbedford-mcmullencarpetsadditionalassumptionsbernoullicompute
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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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