Beurling dimension and a class of Moran measures

被引：1
|
作者：
Wang, Cong [1 ]
Zhang, Min-Min [2 ]
机构：
[1] Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Peoples R China
[2] Cent China Normal Univ, Sch Math & Stat, Hubei Key Lab Math Sci, Wuhan 430079, Peoples R China
来源：
CHAOS SOLITONS & FRACTALS | 2023年 / 166卷
基金：
中国国家自然科学基金;
关键词：
Beurling dimension; Moran measure; Spectrum; Hausdorff dimension; SPECTRA;
D O I：
10.1016/j.chaos.2022.112926
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we will study the Beurling dimension of spectra for Moran measures defined by infinite convolution of discrete measures [GRAPHICS] We obtain the upper and lower bounds of the dimension. More precisely, the upper bound is the Hausdorff dimension of the compact support of mu(b,D,{nj}) and the lower bound is 0. The bounds are attained in special cases and some examples are given to explain our theory.
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页数：7
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