Limit Theorem for Spectra of Laplace Matrix of Random Graphs

Alexander N. Tikhomirov ()
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Alexander N. Tikhomirov: Institute of Physics and of Mathematics, Komi Science Center of Ural Branch of RAS, 167982 Syktyvkar, Russia

Mathematics, 2023, vol. 11, issue 3, 1-25

Abstract: 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 and the normal law.

Keywords: semicircular law; random graph; normal law; Stieltjes transform; Laplace matrix (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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