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Limit Theorem for Spectra of Laplace Matrix of Random Graphs

Author

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  • Alexander N. Tikhomirov

    (Institute of Physics and of Mathematics, Komi Science Center of Ural Branch of RAS, 167982 Syktyvkar, Russia)

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.

Suggested Citation

  • Alexander N. Tikhomirov, 2023. "Limit Theorem for Spectra of Laplace Matrix of Random Graphs," Mathematics, MDPI, vol. 11(3), pages 1-25, February.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:764-:d:1055797
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    Cited by:

    1. Alexander N. Tikhomirov & Vladimir V. Ulyanov, 2023. "On the Special Issue “Limit Theorems of Probability Theory”," Mathematics, MDPI, vol. 11(17), pages 1-4, August.

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