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- W2912254236 abstract "We compute the leading asymptotics of the logarithm of the absolute value of the characteristic polynomial, denoted Psi_N, of the Ginibre ensemble as the dimension of the random matrix N tends to +infty. The method relies on an upper-bound which follows from the main asymptotics of Webb-Wong and a lower-bound that we obtained by exploiting the log-correlated structure of the field Psi_N. In particular, using the results of Lambert-Ostrovsky-Simm combined with the approach from Ameur-Hedenmalm-Makarov to derive the necessary asymptotics, we obtain the lower bound by constructing Gaussian multiplicative chaos measures associated with certain regularization of Psi_N at small mesoscopic scales." @default.
- W2912254236 created "2019-02-21" @default.
- W2912254236 creator A5078997994 @default.
- W2912254236 date "2019-02-06" @default.
- W2912254236 modified "2023-09-27" @default.
- W2912254236 title "The law of large numbers for the maximum of the characteristic polynomial of the Ginibre ensemble" @default.
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