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Information × Registration Number 2110U000891, Article popup.category Стаття Title popup.author popup.publication 01-01-2010 popup.source_user Сумський державний університет popup.source http://essuir.sumdu.edu.ua/handle/123456789/3035 popup.publisher A Letters Journal Exploring the Frontiers of Physics Description On the basis of the deformed series in quantum calculus, we generalize the partition function and the mass exponent of a multifractal, as well as the average of a random variable distributed over a self-similar set. For the partition function, such expansion is shown to be determined by binomial-type combinations of the Tsallis entropies related to manifold deformations, while the mass exponent expansion generalizes the known relation τq= Dq(q −1). We find the equation for the set of averages related to ordinary, escort, and generalized probabilities in terms of the deformed expansion as well. Multifractals related to the Cantor binomial set, exchange currency series, and porous-surface condensates are considered as examples. When you are citing the document, use the following link http://essuir.sumdu.edu.ua/handle/123456789/3035 popup.nrat_date 2025-05-12 Close