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dc.contributor.authorRiedi, Rudolf H.
Mandelbrot, Benoit
dc.creatorRiedi, Rudolf H.
Mandelbrot, Benoit
dc.date.accessioned 2007-10-31T01:01:09Z
dc.date.available 2007-10-31T01:01:09Z
dc.date.issued 1997-01-20
dc.date.submitted 2004-01-14
dc.identifier.citation R. H. Riedi and B. Mandelbrot, "Inversion Formula for Continuous Multifractals," Advances in Applied Mathematics, 1997.
dc.identifier.urihttp://hdl.handle.net/1911/20267
dc.description Journal Paper
dc.description.abstract In a previous paper the authors introduced the inverse measure Âµâ   of a probability measure µ on [0,1]. It was argued that the respective multifractal spectra are linked by the 'inversion formula' fâ  (a) = af(1/a). Here, the statements of Part I are put in more mathematical terms and proofs are given for the inversion formula in the case of continuous measures. Thereby, f may stand for the Hausdorff spectrum, the pacing spectrum, or the coarse grained spectrum. With a closer look at the special case of self-similar measures we offer a motivation of the inversion formula as well as a discussion of possible generalizations. Doing so we find a natural extension of the scope of the notion 'self-similar' and a failure of the usual multifractal formalism.
dc.language.iso eng
dc.subjectTemporary
dc.subject.otherMultifractals
dc.title Inversion Formula for Continuous Multifractals
dc.type Journal article
dc.citation.bibtexName article
dc.citation.journalTitle Advances in Applied Mathematics
dc.date.modified 2004-01-22
dc.contributor.orgDigital Signal Processing (http://dsp.rice.edu/)
dc.subject.keywordTemporary
dc.type.dcmi Text
dc.type.dcmi Text
dc.identifier.doihttp://dx.doi.org/10.1006/aama.1997.0550


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    Publications by Rice Faculty and graduate students in digital signal processing.
  • ECE Publications [1250]
    Publications by Rice University Electrical and Computer Engineering faculty and graduate students

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