Higher moments for random multiplicative measures

被引：1

作者：

Falconer, Kenneth J. ^{[1
]}

机构：

[1] Univ St Andrews, Sch Math & Stat, North Haugh, St Andrews KY169 SS, Fife, Scotland

来源：

JOURNAL OF FRACTAL GEOMETRY | 2015年 / 2卷 / 03期

关键词：

Multiplicative measures; cascades; moments; random fractals;

D O I：

10.4171/JFG/20

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a condition for the L-q -convergence of martingales generated by random multiplicative cascade measures for q > 1 without any self-similarity requirements on the cascades.

引用

页码：229 / 247

页数：19

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