Limit Theorem for Spectra of Laplace Matrix of Random Graphs

Limit Theorem for Spectra of Laplace Matrix of Random Graphs

We consider the limit of the empirical spectral distribution of Laplace matrices of generalized random graphs. Applying the Stieltjes transform method, we prove under general conditions that the limit spectral distribution of Laplace matrices converges to the free convolution of the semicircular law...

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Bibliographic Details
Main Author: Alexander N. Tikhomirov
Format: Article
Language:English
Published: MDPI AG 2023-02-01
Series:Mathematics
Subjects:
semicircular law
random graph
normal law
Stieltjes transform
Laplace matrix
Online Access:https://www.mdpi.com/2227-7390/11/3/764

Internet

https://www.mdpi.com/2227-7390/11/3/764

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