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

Akihiko Kitada, Tetsuji Konishi, Takanobu Watanabe

    Research output: Contribution to journalArticle

    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

    Fingerprint

    Self-similar Set
    Hausdorff Dimension
    contraction
    Contraction
    estimates
    Estimate
    Monotone Function
    Increasing Functions
    Topological Structure
    Coefficient
    coefficients
    Evaluate

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics

    Cite this

    An estimate of the Hausdorff dimension of a weak self-similar set. / Kitada, Akihiko; Konishi, Tetsuji; Watanabe, Takanobu.

    In: Chaos, Solitons and Fractals, Vol. 13, No. 2, 02.2002, p. 363-366.

    Research output: Contribution to journalArticle

    Kitada, Akihiko ; Konishi, Tetsuji ; Watanabe, Takanobu. / An estimate of the Hausdorff dimension of a weak self-similar set. In: Chaos, Solitons and Fractals. 2002 ; Vol. 13, No. 2. pp. 363-366.
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