Exceptional set and multifractal analysis

Research output: Contribution to journalArticle

Abstract

In this note we consider a one-parameter family of Cantor-sets with overlapping cylinders. For a set of zero measure of parameters (exceptional set) the dimension of the attractor drops as a result of the intersection between the cylinders. We find a connection between multifractal analysis and the size of this exceptional set.

Original languageEnglish
Pages (from-to)121-125
Number of pages5
JournalPeriodica Mathematica Hungarica
Volume37
Issue number1-3
Publication statusPublished - 1998

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Exceptional Sets
Multifractal Analysis
Cantor set
Overlapping
Attractor
Intersection
Zero
Family

Keywords

  • Exceptional set
  • Hausdorff dimension
  • Multifractals

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Exceptional set and multifractal analysis. / Simon, K.

In: Periodica Mathematica Hungarica, Vol. 37, No. 1-3, 1998, p. 121-125.

Research output: Contribution to journalArticle

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