On the Limiting Distribution of the Spectra of Random Block Matrices

Alexander N. Tikhomirov ()
Additional contact information
Alexander N. Tikhomirov: Institute of Physics and Mathematics of FRC “Komi Science Center of Ural Branch of RAS”, Syktyvkar 167982, Russia

Mathematics, 2025, vol. 13, issue 13, 1-23

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/13/13/2056/pdf (application/pdf)
https://www.mdpi.com/2227-7390/13/13/2056/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:13:y:2025:i:13:p:2056-:d:1684015

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().