Large Deformations of the Tracy–Widom Distribution I: Non-oscillatory Asymptotics-Reference-Cited by-同舟云学术

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Large Deformations of the Tracy–Widom Distribution I: Non-oscillatory Asymptotics

Published:2017-10-13 Issue:1 Volume:359 Page:223-263
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Bothner Thomas,Buckingham Robert

Funder

Directorate for Mathematical and Physical Sciences

Charles Phelps Taft Research Center

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/article/10.1007/s00220-017-3006-7/fulltext.html

Reference51 articles.

1. Ablowitz M., Segur H.: Asymptotic solutions of the Korteweg–de Vries equation. Stud. Appl. Math. 57, 13–44 (1976)

2. Ablowitz M., Segur H.: Asymptotic solutions of nonlinear evolution equations and a Painlevé transcendent. Physica D 3, 165–184 (1981)

3. Baik J., Buckingham R., DiFranco J.: Asymptotics of Tracy–Widom distributions and the total integral of a Painlevé II function. Commun. Math. Phys. 280, 463–497 (2008)

4. Baik J., Buckingham R., DiFranco J., Its A.: Total integrals of Painlevé II solutions. Nonlinearity 22, 1021–1061 (2009)

5. Baik J., Deift P., Johansson K.: On the distribution of the length of the longest increasing subsequence of random permutations. J. Am. Math. Soc. 12, 1119–1178 (1999)

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