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The Ginibre Ensemble Conditioned on an Overcrowding Event

Kopelevitch, Offer
arXiv (All) · Papers
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mathematical-physicsprobability
We look at the eigenvalues of the complex Ginibre Ensemble of random matrices consisting of $N$ eigenvalues. We study the event that for $ {c \in [0,1]}$, $\lfloor cN \rfloor$ of the eigenvalues are located outside of a disk of radius $ R \in (\sqrt{1-c},1)$. Except for the case $c=1$ the eigenvalue
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