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Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2017, том 13
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Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II
Інший ID:
2010 Mathematics Subject Classification: 37K15; 15B52; 34M55; 35Q53; 60F05; 60K35; 62H25; 82B44
DOI:10.3842/SIGMA.2017.016
DOI:10.3842/SIGMA.2017.016
Посилання:
Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II / P. Deift // Symmetry, Integrability and Geometry: Methods and Applications. — 2017. — Т. 13. — Бібліогр.: 113 назв. — англ.
Підтримка:
This paper is a 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.
The full collection is available at http://www.emis.de/journals/SIGMA/Deift-Tracy.html.
This work was supported in part by NSF Grant DMS-1300965. The author would also like
to thank Ivan Corwin for his help with Problem 3, and Jinho Baik and Ivan Corwin for their
unstinting help in preparing this article for publication. The author is also very grateful for the
opportunity to present this list of problems which continue to intrigue and challenge him.
Дата:
2017
Переглядів:
521
Завантажень:
242
Анотація:
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 60th birthday in 2005 (see [Deift P., Contemp. Math., Vol. 458, Amer. Math. Soc., Providence, RI, 2008, 419-430, arXiv:0712.0849]).
