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The Singularity Spectrumf(α) of Some Moran Fractals

✍ Scribed by Min Wu


Book ID
106198286
Publisher
Springer Vienna
Year
2004
Tongue
English
Weight
143 KB
Volume
144
Category
Article
ISSN
0026-9255

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Fractal properties of the singular funct
✍ David J. Peterson 📂 Article 📅 1991 🏛 Springer 🌐 English ⚖ 357 KB

The function s(u) arising in the study of long primitive BCH codes over GF(q) is reviewed. The set of points 0 < u -< 1 such that qku has a modulo 1 representation in the interval [a, 1] for every integer k >-0 is shown to have Hausdorff dimension s(a) for every 0 \_< a \_< 1. Berlekamp's conjecture