Accuracy of the box-counting algorithm for noisy fractals

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چکیده

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We show that for sets with the Hausdorff–Besicovitch dimension equal zero the box counting algorithm commonly used to calculate Renyi exponents (dq) can exhibit perfect scaling suggesting non zero dq’s. Properties of these pathological sets (pseudofractals) are investigated. Numerical, as well as analytical estimates for dq’s are obtained. A simple indicator is given to distinguish pseudofracta...

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ژورنال

عنوان ژورنال: International Journal of Modern Physics C

سال: 2016

ISSN: 0129-1831,1793-6586

DOI: 10.1142/s0129183116501126