Alt J, Erdos L, Krueger T, Nemish Y (2019)
Publication Type: Journal article
Publication year: 2019
Book Volume: 55
Pages Range: 661-696
Journal Issue: 2
DOI: 10.1214/18-AIHP894
For a general class of large non-Hermitian random block matrices X we prove that there are no eigenvalues away from a deterministic set with very high probability. This set is obtained from the Dyson equation of the Hermitization of X as the self-consistent approximation of the pseudospectrum. We demonstrate that the analysis of the matrix Dyson equation from (Probab. Theory Related Fields (2018)) offers a unified treatment of many structured matrix ensembles.
APA:
Alt, J., Erdos, L., Krueger, T., & Nemish, Y. (2019). Location of the spectrum of Kronecker random matrices. Annales de l'Institut Henri Poincaré - Probabilités Et Statistiques, 55(2), 661-696. https://doi.org/10.1214/18-AIHP894
MLA:
Alt, Johannes, et al. "Location of the spectrum of Kronecker random matrices." Annales de l'Institut Henri Poincaré - Probabilités Et Statistiques 55.2 (2019): 661-696.
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