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- W1983151285 abstract "We study the singularity (multifractal) spectrum of continuous functions monotone in several variables. We find an upper bound valid for all functions of this type, and we prove that this upper bound is reached for generic functions monotone in several variables. Let Efh be the set of points at which f has a pointwise exponent equal to h. For generic monotone functions f:[0,1]d→R, we have that dimEf(h)=d−1+h for all h∈[0,1], and in addition, we obtain that the set Efh is empty as soon as h>1. We also investigate the level set structure of such functions." @default.
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- W1983151285 date "2011-10-01" @default.
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- W1983151285 title "Multifractal spectrum and generic properties of functions monotone in several variables" @default.
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- W1983151285 doi "https://doi.org/10.1016/j.jmaa.2011.04.031" @default.
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