Multifractal analysis of sums of random pulses

Saes Guillaume; Seuret Stephane

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Multifractal analysis of sums of random pulses

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摘要

In this paper, we investigate the regularity properties and 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 moduli of the sample paths of these stochastic processes are investigated.

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来源
《Mathematical Proceedings of the Cambridge Philosophical Society》 |2023年第3期|569-593|共25页
作者
Saes Guillaume; Seuret Stephane;
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作者单位

Univ Paris Est Creteil;

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原文格式 PDF
正文语种英语
中图分类数学;
关键词
28A80; 28A78; 26A15; 60GXX; 60L30; MICROPULSES; HAUSDORFF;

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Multifractal analysis of sums of random pulses

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