Cheeger Inequalities for the Discrete Magnetic Laplacian

被引：0
|
作者：
Yan, Haitao [1 ]
机构：
[1] Univ Sci & Technol China, Hefei 230000, Peoples R China
来源：
JOURNAL OF GEOMETRIC ANALYSIS | 2022年 / 32卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Cheeger inequality; Frustration index; Discrete magnetic Laplacian; Random partition; Complex projective space; Weighted graph; Signature mapping;
D O I：
10.1007/s12220-021-00813-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we apply the theory of stochastic decomposition for general metric spaces due to Lee and Noar to derive the existence of bounded Lipschitz random partition of complex projective spaces, by which we improve the high-order Cheeger inequalities for the discrete magnetic Laplacian.
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页数：18
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