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Mathematics
Volume 13
Issue 13
10.3390/math13132056
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Article

On the Limiting Distribution of the Spectra of Random Block Matrices

by
Alexander N. Tikhomirov
Institute of Physics and Mathematics of FRC “Komi Science Center of Ural Branch of RAS”, Syktyvkar 167982, Russia
Mathematics 2025, 13(13), 2056; https://doi.org/10.3390/math13132056
Submission received: 31 March 2025 / Revised: 14 May 2025 / Accepted: 2 June 2025 / Published: 20 June 2025
Versions Notes

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.
Keywords: block matrices; Toeplitz matrices; Hankel matrices; spectral distributions block matrices; Toeplitz matrices; Hankel matrices; spectral distributions

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MDPI and ACS Style

Tikhomirov, A.N. On the Limiting Distribution of the Spectra of Random Block Matrices. Mathematics 2025, 13, 2056. https://doi.org/10.3390/math13132056

AMA Style

Tikhomirov AN. On the Limiting Distribution of the Spectra of Random Block Matrices. Mathematics. 2025; 13(13):2056. https://doi.org/10.3390/math13132056

Chicago/Turabian Style

Tikhomirov, Alexander N. 2025. "On the Limiting Distribution of the Spectra of Random Block Matrices" Mathematics 13, no. 13: 2056. https://doi.org/10.3390/math13132056

APA Style

Tikhomirov, A. N. (2025). On the Limiting Distribution of the Spectra of Random Block Matrices. Mathematics, 13(13), 2056. https://doi.org/10.3390/math13132056

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