Bulk universality for complex eigenvalues of real non-symmetric random matrices with i.i.d. entries

2024/02/15 by Dubova, Sofiia, Yang, Kevin · 2 citations
#15B52 #60B20 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.2402.10197

Abstract

We consider an ensemble of non-Hermitian matrices with independent identically distributed real entries that have finite moments. We show that its k-point correlation function in the bulk away from the real line converges to a universal limit.

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• Characteristic polynomials of non-Hermitian random band matrices
• Bulk Universality for Sparse Complex non-Hermitian Random Matrices

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