Publication: q-analysis of Fractal Sets
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Volume Title
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American Physical Society (APS)
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Abstract
Summary: \(q\)-derivatives can be identified with the generators of fractal and multifractal sets with discrete dilatation symmetries. Besides providing a natural language in which to discuss homogeneous functions with oscillatory amplitudes, this also allows one to discuss cascade models with continuous scale changes.
Description
Journal or Series
Physical Review Letters
ISSN
0031-9007
ISBN
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OPEN
Keywords
\(q\)-derivatives, discrete dilatation symmetries, Fractals, fractal sets, cascade models, multifractal sets