Divergence points of deformed empirical measures

Research output: Contribution to journalArticlepeer-review

19 Citations (Scopus)

Abstract

We introduce and develope a unifying multifractal framework based on deformations of empirical measures. This framework (1) unifies and extends many results in multifractal analysis of local characteristics of dynamical systems and "fractal" measures and (2) provides a systematic basis for the detailed study of divergence points.

Original languageEnglish
Pages (from-to)701-713
Number of pages13
JournalMathematical Research Letters
Volume9
Issue number5-6
Publication statusPublished - Sept 2002

Keywords

  • fractals
  • multifractals
  • multifractal spectrum
  • local dimensions
  • spectrum of local Lyapunov exponents
  • spectrum of local entropies
  • spectrum of ergodic averages
  • empirical measures
  • divergence points
  • self-conformal sets
  • self-conformal measures
  • MULTIFRACTAL ANALYSIS
  • HAUSDORFF DIMENSION
  • LOCAL ENTROPIES
  • FRACTALS
  • GEOMETRY

Fingerprint

Dive into the research topics of 'Divergence points of deformed empirical measures'. Together they form a unique fingerprint.

Cite this