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math.PR2016★ 5 cited
The law of large numbers for the maximum of almost Gaussian log-correlated fields coming from random matrices
Gaultier Lambert, Elliot Paquette
We compute the leading asymptotics as of the maximum of the field , , for any unitarily invariant Hermitian random matrix $A…
math.PR2016
The maximum of the CUE field
Elliot Paquette, Ofer Zeitouni
Let denote a Haar Unitary matrix of dimension N, and consider the field \[ {\bf U}(z) = \log |\det(1-zU_N)| \] for z in the unit disk. Then, \[ \frac{\max_{|z|=1} {\bf U}(z)…