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

[摘要] 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]).

[关键词] integrable systems;numerical algorithms;random matrices;random particle systems;Riemann–Hilbert problems