On random Bernoulli convolutions

被引：0

作者：

Persson, Tomas ^{[1
]}

机构：

[1] Lund Univ, Ctr Math Sci, SE-22100 Lund, Sweden

来源：

DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2010年 / 25卷 / 02期

关键词：

Bernoulli convolutions; absolutely continuous invariant measures; piecewise hyperbolic maps; random dynamical systems; ATTRACTORS; FAMILY;

D O I：

10.1080/14689360903418801

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the distribution of the random series [image omitted], where k are independently and uniformly distributed in ( - epsilon, + epsilon). It is proved that the distribution of the series has density in L2 and that the L2 norm of the density does not grow faster than [image omitted], when epsilon vanishes.

引用

页码：203 / 213

页数：11

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