Multifractal analysis of sums of random pulses
Classical Analysis and ODEs
2021-11-23 v2 Functional Analysis
Probability
Abstract
In this paper, we determine the almost sure multifractal spectrum of a class of random functions constructed as sums of pulses with random dilations and translations. In addition, the continuity modulii of these functions is investigated.
Keywords
Cite
@article{arxiv.2011.10314,
title = {Multifractal analysis of sums of random pulses},
author = {Guillaume Saes and Stéphane Seuret},
journal= {arXiv preprint arXiv:2011.10314},
year = {2021}
}