Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

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 Guest Editor for this special issue is

Jinho Baik (University of Michigan, USA)
Ivan Corwin (Columbia University, USA)
Brian Rider (Temple University, USA)

The aim of this special issue of SIGMA is to provide a current overview of some recent developments in random matrix theory, random growth processes, integrable systems, statistical physics and asymptotics/universality in the above areas. The issue is in honor of the 70th birthday conference of Percy Deift held at the Centre Researches Mathématique in Montréal from June 7–11, 2015 and the 70th birthday conference of Craig Tracy held at the Simons Center for Geometry and Physics in Stonybrook from September 7–11, 2015.

The issue contains 14 papers with the total of 311 pages.

We would like to thank all the authors who have published papers in the issue, and to give our special thanks to all the referees for providing constructive reviews.

The Guest Editors        

Papers in this Issue:

Some Open Problems in Random Matrix Theory and the Theory of Integrable Systems. II
Percy Deift
SIGMA 13 (2017), 016, 23 pages   [ abs   pdf ]
Smoothed Analysis for the Conjugate Gradient Algorithm
Govind Menon and Thomas Trogdon
SIGMA 12 (2016), 109, 22 pages   [ abs   pdf ]
On the Tracy-Widom$_\beta$ Distribution for $\beta=6$
Tamara Grava, Alexander Its, Andrei Kapaev and Francesco Mezzadri
SIGMA 12 (2016), 105, 26 pages   [ abs   pdf ]
Moments Match between the KPZ Equation and the Airy Point Process
Alexei Borodin and Vadim Gorin
SIGMA 12 (2016), 102,  7 pages   [ abs   pdf ]
A Riemann-Hilbert Approach for the Novikov Equation
Anne Boutet de Monvel, Dmitry Shepelsky and Lech Zielinski
SIGMA 12 (2016), 095, 22 pages   [ abs   pdf ]
Precise Deviations Results for the Maxima of Some Determinantal Point Processes: the Upper Tail
Peter Eichelsbacher, Thomas Kriecherbauer and Katharina Schüler
SIGMA 12 (2016), 093, 18 pages   [ abs   pdf ]
On the Scaling Limits of Determinantal Point Processes with Kernels Induced by Sturm-Liouville Operators
Folkmar Bornemann
SIGMA 12 (2016), 083, 20 pages   [ abs   pdf ]
An Update on Local Universality Limits for Correlation Functions Generated by Unitary Ensembles
Doron S. Lubinsky
SIGMA 12 (2016), 078, 36 pages   [ abs   pdf ]
On Time Correlations for KPZ Growth in One Dimension
Patrik L. Ferrari and Herbert Spohn
SIGMA 12 (2016), 074, 23 pages   [ abs   pdf ]
A Vector Equilibrium Problem for Muttalib-Borodin Biorthogonal Ensembles
Arno B.J. Kuijlaars
SIGMA 12 (2016), 065, 15 pages   [ abs   pdf ]
Toda Equations and Piecewise Polynomiality for Mixed Double Hurwitz Numbers
I.P. Goulden, Mathieu Guay-Paquet and Jonathan Novak
SIGMA 12 (2016), 040, 10 pages   [ abs   pdf ]
The Transition Probability of the $q$-TAZRP ($q$-Bosons) with Inhomogeneous Jump Rates
Dong Wang and David Waugh
SIGMA 12 (2016), 037, 16 pages   [ abs   pdf ]
Random Matrices with Merging Singularities and the Painlevé V Equation
Tom Claeys and Benjamin Fahs
SIGMA 12 (2016), 031, 44 pages   [ abs   pdf ]
Loops in SU(2), Riemann Surfaces, and Factorization, I
Estelle Basor and Doug Pickrell
SIGMA 12 (2016), 025, 29 pages   [ abs   pdf ]

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