Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages. II: Non-linearity, divergence points and Banach space valued spectra |
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Authors: | L Olsen S Winter |
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Institution: | a Department of Mathematics, University of St. Andrews, St. Andrews, Fife KY16 9SS, Scotland, UK b Mathematical Institute, Friedrich-Schiller-Universität, D-07747 Jena, Germany |
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Abstract: | During the past 10 years multifractal analysis has received an enormous interest. For a sequence n(φn) of functions φn:X→M on a metric space X, multifractal analysis refers to the study of the Hausdorff dimension of the level sets |
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Keywords: | 37D35 37D20 28A80 |
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