Exact Hausdorff dimension of the spectral measure for the graph Laplacian on a sparse tree

被引：0
|
作者：
Ujino, Kota [1 ]
机构：
[1] Kyushu Univ, Grad Sch Math, Nishi Ku, 744 Motooka, Fukuoka 8190395, Japan
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 519卷 / 02期
关键词：
Graph Laplacian; Singular continuous spectrum; Sparse potential; Hausdorff dimension; Intermittency function; SINGULAR CONTINUOUS-SPECTRUM; SUBORDINACY; OPERATORS;
D O I：
10.1016/j.jmaa.2022.126811
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hausdorff dimension of spectral measure for the graph Laplacian is shown exactly in terms of an intermittency function. The intermittency function can be estimated by using one-dimensional discrete Schrodinger operator method. (c) 2022 Elsevier Inc. All rights reserved.
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页数：39
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