An Improved Multifractal Formalism and Self Similar Measures

Simple item page
dc.citation.bibtexNamearticleen_US
dc.citation.journalTitleJournal of Math Analysis and Applicationen_US
dc.contributor.authorRiedi, Rudolf H.en_US
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)en_US
dc.date.accessioned2007-10-31T01:00:57Zen_US
dc.date.available2007-10-31T01:00:57Zen_US
dc.date.issued1995-01-01en_US
dc.date.modified2004-11-05en_US
dc.date.submitted2004-01-14en_US
dc.descriptionJournal Paperen_US
dc.description.abstractTo characterize the geometry of a measure, its so-called generalized dimensions D(<i>q</i>) have been introduced recently. The mathematically precise definition given by Falconer turns out to be unsatisfactory for reasons of convergence as well as of undesired sensitivity to the particular choice of coordinates in the negative <i>q</i> range. A new definition is introduced, which is based on box-counting too, but which carries relevant information also for negative <i>q</i>. In particular, rigorous proofs are provided for the Legendre connection between generalized dimensions and the so-called multifractal spectrum and for the implicit formula giving the generalized dimensions of self-similar measures, which was until now known only for positive <i>q</i>.en_US
dc.identifier.citationR. H. Riedi, "An Improved Multifractal Formalism and Self Similar Measures," <i>Journal of Math Analysis and Application,</i> 1995.en_US
dc.identifier.doihttp://dx.doi.org/10.1006/jmaa.1995.1030en_US
dc.identifier.urihttps://hdl.handle.net/1911/20262en_US
dc.language.isoengen_US
dc.subjectTemporaryen_US
dc.subject.keywordTemporaryen_US
dc.subject.otherMultifractalsen_US
dc.titleAn Improved Multifractal Formalism and Self Similar Measuresen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
Files
Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Rie1995Jan1AnImproved.PS
Size:
204.2 KB
Format:
Postscript Files
Download
Collections
ECE Publications
DSP Publications