Hankel Determinant and Orthogonal Polynomials for a Gaussian Weight with a Discontinuity at the Edge-Reference-Cited by-同舟云学术

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Hankel Determinant and Orthogonal Polynomials for a Gaussian Weight with a Discontinuity at the Edge

Published:2016-06-23 Issue:1 Volume:347 Page:127-162
ISSN:0010-3616
Container-title:Communications in Mathematical Physics
language:en
Short-container-title:Commun. Math. Phys.

Author:

Bogatskiy A.^ORCID,Claeys T.,Its A.

Funder

European Research Council

Belgian Interuniversity Attraction Pole

National Science Foundation

Saint Petersburg State University

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

http://link.springer.com/content/pdf/10.1007/s00220-016-2691-y.pdf

Reference33 articles.

1. Ablowitz, M.J., Segur, H.: Asymptotic solutions of the Korteweg–deVries equation. Stud. Appl. Math. 57(1), 13–44 (1976/77)

2. Baik J., Buckingham R., DiFranco J.: Asymptotics of Tracy–Widom distributions and the total integral of a Painlevé II function. Commun. Math. Phys 280(2), 463–497 (2008) doi: 10.1007/s00220-008-0433-5

3. Baik J., Buckingham R., DiFranco J., Its A.: Total integrals of global solutions to Painlevé II. Nonlinearity 22(5), 1021–1061 (2009) doi: 10.1088/0951-7715/22/5/006

4. Bertola M.: On the location of poles for the Ablowitz–Segur family of solutions to the second Painlevé equation. Nonlinearity 25(4), 1179–1185 (2012) doi: 10.1088/0951-7715/25/4/1179

5. Bohigas O., de Carvalho J.X., Pato M.P.: Deformations of the Tracy–Widom distribution. Phys. Rev. E (3) 79(3), 031117, 6 (2009). doi: 10.1103/PhysRevE.79.031117

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