Polyanalytic Hermite polynomials associated with the elliptic Ginibre model
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DOI: 10.1142/s0129055x25500321
Abstract: Motivated by the connection between the eigenvalues of the complex Ginibre matrix model and the magnetic Laplacian in the complex plane, we derive analogues of the complex Hermite polynomials for the elliptic Ginibre model. To… read more here.
Keywords: ginibre model; hermite polynomials; elliptic ginibre; ginibre ... See more keywords
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