Non-linear PDEs for gap probabilities in random matrices and KP theory

Mark Adler, Mattia Cafasso, Pierre van Moerbeke

Type: Article

Publication Date: 2012-08-27

Citations: 18

DOI: https://doi.org/10.1016/j.physd.2012.08.016

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Physica D Nonlinear Phenomena - View
arXiv (Cornell University) - View - PDF
HAL (Le Centre pour la Communication Scientifique Directe) - View
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+ PDF Chat	KP integrability of triple Hodge integrals. II. Generalized Kontsevich matrix model	2021	A. Alexandrov
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Works Cited by This (40)

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+ PDF Chat	The Transition between the Gap Probabilities from the Pearcey to the Airy Process—a Riemann–Hilbert Approach	2012	Marco Bertola Mattia Cafasso
+	All the lowest order PDE for spectral gaps of Gaussian matrices	2010	Igor Rumanov
+	Universal scaling limits of matrix models, and (p,q) Liouville gravity	2009	M. C. Bergère Bertrand Eynard
+	None	2002	Michael Prähofer Herbert Spohn
+	None	2003	Pavel Bleher Arno B. J. Kuijlaars
+	The Riemann-Hilbert approach to the transition between the gap probabilities from the Pearcey to the Airy process	2010	Marco Bertola Mattia Cafasso
+	Geometric interpretation of the partition function of 2D gravity	1991	Victor G. Kač Albert Schwarz
+ PDF Chat	Universal singularity at the closure of a gap in a random matrix theory	1998	E. Brézin S. Hikami
+	General rational reductions of the KP hierarchy and their symmetries	1995	I. M. Krichever
+ PDF Chat	Loop groups and equations of KdV type	1985	Graeme Segal George Wilson