Multifractal analysis of sums of random pulses

被引：0
|
作者：
Saes, Guillaume [1 ]
Seuret, Stephane [1 ]
机构：
[1] Univ Paris Est Creteil, Lab Anal & Math Appl, Creteil, France
来源：
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY | 2023年 / 175卷 / 03期
关键词：
28A80; 28A78; 26A15; 60GXX; 60L30; MICROPULSES; HAUSDORFF;
D O I：
10.1017/S0305004123000324
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：569 / 593
页数：25
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