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On the Limiting Distribution of the Spectra of Random Block Matrices

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  • Alexander N. Tikhomirov

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

Abstract

The behavior of the spectra of symmetric block-type random matrices with symmetric blocks of high dimensionality is considered in this paper. Under minimal conditions regarding the distributions of matrix block elements (Lindeberg conditions), the universality of the limiting empirical distribution function of block-type random matrices is shown.

Suggested Citation

  • Alexander N. Tikhomirov, 2025. "On the Limiting Distribution of the Spectra of Random Block Matrices," Mathematics, MDPI, vol. 13(13), pages 1-23, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:13:p:2056-:d:1684015
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