Critical asymptotic behavior for the Korteweg-de Vries equation and in random matrix theory

Claeys, Tom;Grava, Tamara
(2012) Proceedings of the MSRI semester on Random matrices, interacting particle systems and integrable systems — ISBN: [9781107079922], p. 71-92, published

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Authors
  • Claeys, Tomorcid-logoUCLouvain
    Author
  • Grava, TamaraSISSA, Trieste
    Author
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 counterparts for the Korteweg-de Vries equation, emphasizing the similarities between both subjects.
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Claeys, T., & Grava, T. (2012). Critical asymptotic behavior for the Korteweg-de Vries equation and in random matrix theory. In P. Deift and P. Forrester (ed.), Proceedings of the MSRI semester on Random matrices, interacting particle systems and integrable systems (p. p. 71-92). Cambridge University Press. https://hdl.handle.net/2078.5/274217