Powers of Ginibre Eigenvalues
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DOI: 10.1214/18-ejp234
Abstract: We study the images of the complex Ginibre eigenvalues under the power maps $\pi_M: z \mapsto z^M$, for any integer $M$. We establish the following equality in distribution, $$ {\rm{Gin}}(N)^M \stackrel{d}{=} \bigcup_{k=1}^M {\rm{Gin}} (N,M,k), $$… read more here.
Keywords: power; ginibre; powers ginibre; independence ... See more keywords