A weak local irregularity property in S spaces
نویسندگان
چکیده
It has been shown that, from the prevalence point of view, elements of the S spaces are almost surely multifractal, while the Hölder exponent at almost every point is almost surely equal to the maximum Hölder exponent. We show here that typical elements of S are very irregular by proving that they almost surely satisfy a weak irregularity property: there exists a local irregularity exponent which is constant for almost every element of S and equal to the lowest Hölder exponent.
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