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- W1990451772 abstract "The multifractal spectrum of a measure is the dimension of the sets In this work we focus on Cantor measures μ and the Cantor sets which support them. We consider the more general sets, , defined by replacing rα by h(r), and the sets, , formed by functions h for which a given element x belongs to . We propose a classification for the Cantor sets in terms of the sets that is finer than the classification by dimension, but not as fine as the classification given by the equivalence of associated dimension functions. We characterize this latter classification in terms of particular subsets of ." @default.
- W1990451772 created "2016-06-24" @default.
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- W1990451772 date "2010-10-08" @default.
- W1990451772 modified "2023-09-25" @default.
- W1990451772 title "Classifying Cantor sets by their multifractal spectrum" @default.
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- W1990451772 doi "https://doi.org/10.1088/0951-7715/23/11/011" @default.
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