MULTIFRACTAL FORMALISMS:BOXED VERSUS CENTERED INTERVALS

(整期优先)网络出版时间:2003-04-14
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Therearemainlytwoapproachestothemultifractalanalysisofmeasures.Thefirstone,whichisusedinapplicationsandinstudyingproblemsarisingfromdynamicalsystems,usesahierarchyofboxes.Thesecondone,whichismoresatisfactoryfromtheviewpointofgeometricmeasuretheory,usesmoreintrinsicconcepts.ThisarticleisanaccountofaworkbyJ.Barral,F.BenNasr,andJ.Peyriére[3]whichprovidesabridgebetweenthesetwotheories.