2011arXiv (Cornell University)Open access

Estimate of the Hausdorff Dimension of a Self-Similar Set due to Weak Contractions

Yoshihito Ogasawara, Shin'ichi Oishi

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Abstract

As for the remarkable study on the estimate of the Hausdorff dimension of a self-similar set due to weak contractions (Kitada A. et al. Chaos, Solitons & Fractals 13 (2002) 363-366), we present a mathematically simplified form which will be more applicable to various phenomena.

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As for the remarkable study on the estimate of the Hausdorff dimension of a self-similar set due to weak contractions (Kitada A. et al. Chaos, Solitons & Fractals 13 (2002) 363-366), we present a mathematically simplified form which will be more applicable to various phenomena.

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Available abstract

As for the remarkable study on the estimate of the Hausdorff dimension of a self-similar set due to weak contractions (Kitada A. et al. Chaos, Solitons & Fractals 13 (2002) 363-366), we present a mathematically simplified form which will be more applicable to various phenomena.

Key concepts: Hausdorff dimension, Effective dimension, Mathematics, Dimension (graph theory), Set (abstract data type), Hausdorff measure, Fractal dimension, Hausdorff space

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