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

Akihiko Kitada, Tetsuji Konishi, Takanobu Watanabe

研究成果: Article査読

4 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)363-366
ページ数4
ジャーナルChaos, solitons and fractals
13
2
DOI
出版ステータスPublished - 2002 2 1

ASJC Scopus subject areas

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

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