Regularity properties of random wavelet series
Probability
2023-04-04 v1 Functional Analysis
Abstract
We study the regularity properties of random wavelet series constructed by multiplying the coefficients of a deterministic wavelet series with unbounded I.I.D. random variables. In particular, we show that, at the opposite to what happens for Fourier series, the randomization of almost every continuous function gives an almost surely nowhere locally bounded function.
Cite
@article{arxiv.2304.00811,
title = {Regularity properties of random wavelet series},
author = {Céline Esser and Stéphane Jaffard and Béatrice Vedel},
journal= {arXiv preprint arXiv:2304.00811},
year = {2023}
}
Comments
26 pages