科研之友
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摘要
It has been shown that, from the prevalence point of view, elements of the S-v spaces are almost surely multifractal, while the Holder exponent at almost every point is almost surely equal to the maximum Holder exponent. We show here that typical elements of S-v 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-v and equal to the lowest Holder exponent.
- 出版日期2017-6
