Uniformity of spectral self-affine measures

被引：14
作者：
Deng, Qi-Rong [1 ,2 ]
Chen, Jian-Bao [3 ,4 ]
机构：
[1] Fujian Normal Univ, Ctr Appl Math Fujian Prov, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China
[2] Fujian Normal Univ, FJKLMAA, Fuzhou 350117, Fujian, Peoples R China
[3] Fujian Normal Univ, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China
[4] Fujian Normal Univ, Ctr Appl Math Fujian Prov, Fuzhou 350117, Fujian, Peoples R China
来源：
ADVANCES IN MATHEMATICS | 2021年 / 380卷
关键词：
Self-affine; Spectral measure; Equal probability weights; Measure non-overlap;
D O I：
10.1016/j.aim.2021.107568
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For an arbitrary self-affine measure defined by a self-affine iterated function system and a family of probability weights, it is proven in this article that, if a self-affine measure is a spectral measure, then the probability weights must be equal and measure non-overlap holds in a weaker sense. In particular, all spectral integral self-affine measures satisfy the OSC. (C) 2021 Elsevier Inc. All rights reserved.
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页数：17
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