Deviation and moderate deviation for extremal eigenvalues of large Chiral non-Hermitian random matrices
Abstract
Consider the chiral non-Hermitian random matrix ensemble with parameters n and v, and let (ζi)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))1/21 i n|ζi|2, as well as (n/(n+v))1/21 i n|ζi|2.
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