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

Tom Claeys; Tamara Grava

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

Mathematical Physics 2012-11-01 v1 Analysis of PDEs math.MP

Authors: Tom Claeys , Tamara Grava

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.

Keywords

random matrix theory Korteweg-de Vries equation universality critical behavior unitary ensembles Hamiltonian PDEs

Cite

@article{arxiv.1210.8352,
  title  = {Critical asymptotic behavior for the Korteweg-de Vries equation and in random matrix theory},
  author = {Tom Claeys and Tamara Grava},
  journal= {arXiv preprint arXiv:1210.8352},
  year   = {2012}
}

Comments

review paper, 19 pages, to appear in the proceedings of the MSRI semester on `Random matrices, interacting particle systems and integrable systems'

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

Abstract

Keywords

Cite

Comments

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