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.

引用

页数：39

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