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Mathematics > Metric Geometry

arXiv:1804.09034 (math)
[Submitted on 21 Apr 2018]

Title:A mixed multifractal formalism for finitely many non Gibbs Frostman-like measures

Authors:Mohamed Menceur, Anouar Ben Mabrouk
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Abstract:The multifractal formalism for measures hold whenever the existence of corresponding Gibbs-like measures supported on the singularities sets holds. In the present work we tried to relax such a hypothesis and introduce a more general framework of mixed (and thus single) multifractal analysis where the measures constructed on the singularities sets are not Gibbs but controlled by an extra-function allowing the multifractal formalism to hold. We fall on the classical case by a particular choice of such a function.
Comments: 41 pages. arXiv admin note: substantial text overlap with arXiv:1212.5683
Subjects: Metric Geometry (math.MG); Classical Analysis and ODEs (math.CA)
MSC classes: 28A78, 28A80
Cite as: arXiv:1804.09034 [math.MG]
  (or arXiv:1804.09034v1 [math.MG] for this version)
  https://doi.org/10.48550/arXiv.1804.09034

Submission history

From: Anouar Ben Mabrouk [view email]
[v1] Sat, 21 Apr 2018 15:05:04 UTC (19 KB)
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