Maximum gap in complex Ginibre matrices
Patrick Lopatto, Moritz Otto
TL;DR
This paper investigates the asymptotic behavior of the largest gap between eigenvalues in complex Ginibre matrices, providing insights into their spectral distribution.
Contribution
It offers a new analysis of the maximum eigenvalue gap in complex Ginibre matrices, advancing understanding of their spectral properties.
Findings
Asymptotic size of the largest eigenvalue gap determined
Provides probabilistic bounds for eigenvalue gaps
Enhances understanding of spectral distribution in non-Hermitian matrices
Abstract
We determine the asymptotic size of the largest gap between bulk eigenvalues in complex Ginibre matrices.
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Taxonomy
TopicsAdvanced Topics in Algebra · Matrix Theory and Algorithms · graph theory and CDMA systems