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Multifractal phenomena and packing dimension

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Apr 2019Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Revista Matemática Iberoamericana, volume 35, pages 767-804 (issn: 0213-2230, eissn: 2235-0616, Copyright policy )
Authors: Bayart, Frédéric; Heurteaux, Yanick;

doi: 10.4171/rmi/1069

arXiv: http://arxiv.org/abs/1610.00981

Multifractal phenomena and packing dimension

Abstract

We undertake a general study of multifractal phenomena for functions or measures. We show that the existence of several kinds of multifractal functions or measures can be easily deduced from an abstract statement, leading to new results. This general approach does not work for Fourier or Dirichlet series. Using careful constructions, we extend our results to these cases.

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Keywords

Mathematics - Classical Analysis and ODEs, [MATH.MATH-CA] Mathematics [math]/Classical Analysis and ODEs [math.CA]

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
Green
gold