Entropy spectrum of self-affine fractal interfaces created by generators

Hiroaki Katsuragi, Haruo Honjo

    Research output: Contribution to journalArticle

    2 Citations (Scopus)

    Abstract

    Entropy spectrum of self-affine fractal interfaces created by contraction maps is investigated. Interfaces are created by a single (or multi-) generator(s) all of whose segments have the same anisotropy of scaling and different scaling factors. The whole interface is decomposed into many subsets and h (topological entropy), λ (decay exponent), DD (divider dimension) and DB (box dimension) of each subset are calculated. Entropy spectrum is obtained from the relation between h and λ. We find that H (Hurst or roughness exponent), DD and DB for only the remaining subset at n = ∞ are related as DD = 1/H and DB = 2 - H.

    Original languageEnglish
    Pages (from-to)263-268
    Number of pages6
    JournalFractals
    Volume6
    Issue number3
    DOIs
    Publication statusPublished - 1998

    All Science Journal Classification (ASJC) codes

    • Modelling and Simulation
    • Geometry and Topology
    • Applied Mathematics

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