51 citations · 251 across the 19 of their papers we have counts for
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math-ph2014★ 6 cited
Diffusion in the space of complex Hermitian matrices - microscopic properties of the averaged characteristic polynomial and the averaged inverse characteristic polynomial
Jean-Paul Blaizot, Jacek Grela, Maciej A. Nowak +1
We show that the averaged characteristic polynomial and the averaged inverse characteristic polynomial, associated with Hermitian matrices whose elements perform a random walk in t…
math-ph2014★ 51 cited
Dysonian dynamics of the Ginibre ensemble
Zdzisław Burda, Jacek Grela, Maciej A. Nowak +2
We study the time evolution of Ginibre matrices whose elements undergo Brownian motion. The non-Hermitian character of the Ginibre ensemble binds the dynamics of eigenvalues to the…