Abstract
We establish a precise three-term asymptotic expansion, with an optimal estimate of the error term, for the rightmost eigenvalue of an random matrix with independent identically distributed complex entries as n tends to infinity. All terms in the expansion are universal.
Funding Statement
The second and the fourth author were supported by the ERC Advanced Grant “RMTBeyond” No. 101020331. The third author was supported by Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zürich Foundation.
Citation
Giorgio Cipolloni. László Erdős. Dominik Schröder. Yuanyuan Xu. "On the rightmost eigenvalue of non-Hermitian random matrices." Ann. Probab. 51 (6) 2192 - 2242, November 2023. https://doi.org/10.1214/23-AOP1643
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