Random self-similar series over a rotation

被引：0

作者：

Bremont, Julien ^{[1
,2
]}

机构：

[1] Univ Paris Est Creteil, CNRS, LAMA, F-94010 Creteil, France

[2] Univ Gustave Eiffel, LAMA, F-77447 Marne La Vallee, France

来源：

STOCHASTICS AND DYNAMICS | 2024年 / 24卷 / 05期

关键词：

Self-similar measure; Rajchman measure; irrational rotation on the torus;

D O I：

10.1142/S0219493724500333

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We study the law of random self-similar series defined above an irrational rotation on the Circle. This provides a natural class of continuous singular non-Rajchman measures.

引用

页数：12

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