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- W2767506723 abstract "We consider the class of self-affine functions. Firstly, we characterize all nowhere differentiable self-affine continuous functions. Secondly, given a self-affine continuous function ϕ, we investigate its Hölder properties. We find its best uniform Hölder exponent and when ϕ is C1, we find the best uniform Hölder exponent of ϕ′. Thirdly, we show that the Hölder cut of ϕ takes the same value almost everywhere for the Lebesgue measure. This last result is a consequence of the Borel strong law of large numbers." @default.
- W2767506723 created "2017-11-17" @default.
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- W2767506723 date "2018-06-01" @default.
- W2767506723 modified "2023-10-17" @default.
- W2767506723 title "Non-differentiability and Hölder properties of self-affine functions" @default.
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- W2767506723 doi "https://doi.org/10.1016/j.exmath.2017.10.002" @default.
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