An estimate of the Hausdorff dimension of a weak self-similar set

Akihiko Kitada, Tetsuji Konishi, Takanobu Watanabe

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

A method based on a system of weak contractions was proposed to evaluate the Hausdorff dimension of a self-similar set. The contraction coefficients of the proposed estimate were used to study the topological structure of the weak self-similar set. The monotone increasing function was also analyzed in the Hausdorff dimension using continuous contraction coefficients.

Original languageEnglish
Pages (from-to)363-366
Number of pages4
JournalChaos, solitons and fractals
Volume13
Issue number2
DOIs
Publication statusPublished - 2002 Feb 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematics(all)
  • Physics and Astronomy(all)
  • Applied Mathematics

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