Multifractal structure and product of matrices
Refereed conference paper presented and published in conference proceedings

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AbstractThere is a well established multifractal theory for self-similar measures generated by non-overlapping contractive similutudes. Our report here concerns those with overlaps. In particular we restrict our attention to the important classes of self-similar measures that have matrix representations. The dimension spectra and the Lq-spectra are analyzed through the product of matrices. There are abnormal behaviors on the multifractal structure and they will be discussed in detail.
All Author(s) ListLau K.-S.
Volume Number19
Issue Number4
PublisherKluwer Academic Publishers
Place of PublicationNetherlands
Pages289 - 311
LanguagesEnglish-United Kingdom
KeywordsDimension spectra, Iterated function system, Multifractal, Self-similar measure

Last updated on 2021-22-09 at 00:30