Critical asymptotic behavior for the Korteweg\u2013de Vries equation and in random matrix theory

Abstract

We discuss universality in random matrix theory and in the study of Hamiltonian partial differential equations. We focus on universality of critical behavior and we compare results in unitary random matrix ensembles with their coun- terparts for the Korteweg\u2013de Vries equation, emphasizing the similarities between both subjects

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