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Author:   Percy Deift ,  Peter Forrester (University of Melbourne)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   65
Dimensions:   Width: 3.00cm , Height: 15.60cm , Length: 23.40cm
Weight:   0.930kg
ISBN:  

9781107079922

ISBN 10:   1107079926
Pages:   540
Publication Date:   15 December 2014
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Manufactured on demand  
We will order this item for you from a manufactured on demand supplier.

Table of Contents

Preface; 1. Universality conjecture for all Airy, sine and Bessel kernels in the complex plane Gernot Akemann and Michael Phillips; 2. On a relationship between high rank cases and rank one cases of Hermitian random matrix models with external source Jinho Baik and Dong Wang; 3. Riemann-Hilbert approach to the six-vertex model Pavel Bleher and Karl Liechty; 4. CLT for spectra of submatrices of Wigner random matrices, II: stochastic evolution Alexei Borodin; 5. Critical asymptotic behavior for the Korteweg-de Vries equation and in random matrix theory Tom Claeys and Tamara Grava; 6. On the asymptotics of a Toeplitz determinant with singularities Percy Deift, Alexander Its and Igor Krasovsky; 7. Asymptotic analysis of the two-matrix model with a quartic potential Maurice Duits, Arno B. J. Kuijlaars and Man Yue Mo; 8. Conservation laws of random matrix theory Nicholas M. Ercolani; 9. Asymptotics of spacing distributions fifty years later Peter Forrester; 10. Applications of random matrix theory for sensor array imaging with measurement noise Josselin Garnier and Knut Solna; 11. Convolution symmetries of integrable hierarchies, matrix models and -functions John Harnad and Alexander Orlov; 12. Universality limits via 'old style' analysis Doron Lubinsky; 13. Fluctuations and large deviations of some perturbed random matrices Mylene Maida; 14. Three lectures on free probability Jonathan Novak; 15. Whittaker functions and related stochastic processes Neil O'Connell; 16. How long does it take to compute the eigenvalues of a random symmetric matrix? Christian Pfrang, Percy Deift and Govind Menon; 17. Exact solutions of the Kardar-Parisi-Zhang equation and weak universality for directed random polymers Jeremy Quastel; 18. Replica analysis of the one-dimensional KPZ equation Tomohiro Sasamoto; 19. Asymptotic expansions for ss matrix models and their applications to the universality conjecture Mariya Shcherbina; 20. KPZ scaling theory and the semidiscrete directed polymer model Herbert Spohn; 21. Experimental realization of Tracy-Widom distributions and beyond: KPZ interfaces in turbulent liquid crystal Kazumasa Takeuchi; 22. Random matrices: the four-moment theorem for Wigner ensembles Terence Tao and Van Vu.

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Author Information

Percy Deift is a professor at the Courant Institute of Mathematical Sciences, New York University. He is the author of Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach (1999) and was elected to the US National Academy of Sciences in 2009. Peter J. Forrester is a professor in the Department of Mathematics and Statistics at the University of Melbourne, Victoria. He is the author of Log-Gases and Random Matrices (2010) and was elected to the Australian Academy of Science in 2004.

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