The extremal landscape for the C $\beta $ E ensemble

We consider the extremes of the logarithm of the characteristic polynomial of matrices from the C $\beta $ E ensemble. We prove convergence in distribution of the centered maxima (of the real and imaginary parts) toward the sum of a Gumbel variable and another independent variable, which we cha...

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Bibliographic Details
Main Authors: Elliot Paquette, Ofer Zeitouni
Format: Article
Language:English
Published: Cambridge University Press 2025-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424001294/type/journal_article
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