The Multifractal Formalism for Measures, Review and Extension to Mixed Cases-中国期刊网

摘要 Themultifractalformalismforsinglemeasureisreviewed.Next,amixedgeneralizedmultifractalformalismisintroducedwhichextendsthemultifractalformalismofasinglemeasurebasedongeneralizationsoftheHausdorffandpackingmeasurestoavectorofsimultaneouslymanymeasures.Borel-CantelliandLargedeviationsTheoremsareextendedtohigherordersandthusappliedforthevalidityofthenewvariantofthemultifractalformalismforsomespecialcasesofmulti-doublingtypemeasures.

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The Multifractal Formalism for Measures, Review and Extension to Mixed Cases

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The Multifractal Formalism for Measures, Review and Extension to Mixed Cases

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