Results
Title

Deviation probabilities for extremal eigenvalues of large Chiral non-Hermitian random matrices.

Authors

Ma, Yutao; Wang, Siyu

Abstract

Consider the chiral non-Hermitian random matrix ensemble with parameters n and v, and let (ζ i) 1 ≤ i ≤ n be its n eigenvalues with positive x-coordinate. In this paper, we establish deviation probabilities and moderate deviation probabilities for the spectral radius (n n v) 1 2 ⁢ max 1 ≤ i ≤ n ⁡ | ζ i | 2 , as well as (n n v) 1 2 ⁢ min 1 ≤ i ≤ n ⁡ | ζ i | 2 .

Subjects

RANDOM matrices; LARGE deviations (Mathematics); CARTESIAN coordinates; EIGENVALUES; PROBABILITY theory

Publication

Forum Mathematicum, 2025, Vol 37, Issue 3, p717

ISSN

0933-7741

Publication type

Academic Journal

DOI

10.1515/forum-2023-0253