Dimension estimates for arbitrary subsets of limit sets of a Markov construction and related multifractal analysis (Q379879)
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scientific article; zbMATH DE number 6224730
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| English | Dimension estimates for arbitrary subsets of limit sets of a Markov construction and related multifractal analysis |
scientific article; zbMATH DE number 6224730 |
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Dimension estimates for arbitrary subsets of limit sets of a Markov construction and related multifractal analysis (English)
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11 November 2013
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The authors obtain estimates for the dimension of any subset of a limit set of a Markov construction, using properties of Markov partitions and without constructing any measure. Furthermore, they investigate the dimensions of asymptotically conformal repellers and also the dimension spectrum of the level sets of nonadditive potentials on asymptotically conformal repellers.
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Hausdorff dimension
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topological pressure
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multifractal analysis
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asymptotically conformal
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