Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 13 (2017), 016, 23 pages      arXiv:1703.04931     https://doi.org/10.3842/SIGMA.2017.016
Contribution to the Special Issue on Asymptotics and Universality in Random Matrices, Random Growth Processes, Integrable Systems and Statistical Physics in honor of Percy Deift and Craig Tracy

Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II

Percy Deift
Department of Mathematics, New York University, 251 Mercer Str., New York, NY 10012, USA

Received October 11, 2016, in final form March 10, 2017; Published online March 14, 2017

Abstract
We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality, Centre de Recherches Mathématiques, Montréal, June 7-11, 2015. We also describe progress that has been made on problems in an earlier list presented by the author on the occasion of his 60$^{\rm th}$ birthday in 2005 (see [Deift P., Contemp. Math., Vol. 458, Amer. Math. Soc., Providence, RI, 2008, 419-430, arXiv:0712.0849]).

Key words: integrable systems; numerical algorithms; random matrices; random particle systems; Riemann-Hilbert problems.

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