Home /  Random Matrix Theory and Its Applications I


Random Matrix Theory and Its Applications I September 13, 2010 - September 17, 2010
Registration Deadline: September 13, 2010 almost 14 years ago
To apply for Funding you must register by: June 13, 2010 about 14 years ago
Parent Program:
Organizers Jinho Baik (University of Michigan), Percy Deift (Courant Institute of Mathematical Sciences), Alexander Its* (Indiana University-Purdue University Indianapolis), Kenneth McLaughlin (University of Arizona), and Craig A. Tracy (University of California, Davis)

Show List of Speakers

Random matrix theory (RMT) was introduced into the theoretical physics community by Eugene Wigner in the 1950s as a model for scattering resonances of neutrons off large nuclei. In multivariante statistics, random matrix models were introduced in the late 1920s by John Wishart and subsequently developed by Anderson, James and others. Since these early beginnings RMT has found an extraordinary variety of mathematical, physical and engineering applications that, to name some, include number theory, stochastic growth models, tiling problems and wireless communications. Invited Speakers Gernot Akemann (Brunel University), Estelle Basor (American Institute of Mathematics), Gérard Ben Arous (Courant Institute of Mathematical Sciences), Pavel Bleher (Indiana University-Purdue University Indianapolis), Yang Chen (Imperial College London), Tom Claeys (Université Catholique de Louvain), Peter A Clarkson (University of Kent), Persi Diaconis (Stanford University), Philippe Di-Francesco (Institut de Physique Théorique), Nicholas M. Ercolani (The University of Arizona), Tamara Grava (SISSA), Alice Guionnet (U.M.P.A.), Igor Krasovsky (Brunel University), Arno Kuijlaars (Katholieke Universiteit Leuven), Francesco Mezzadri (University of Bristol), Nick Patterson (Broad Institute of Harvard and MIT), Sandrine Péché (Institut Fourier), Brian Rider (University of Colorado at Boulder), Mariya Shcherbyna (National Academy of Sciences of Ukraine), Barry Simon (California Institute of Technology), Terence Tao (University of California, Los Angeles), Pierre Van Moerbeke (Université catholique de Louvain), Horng-Tzer Yau (Harvard University) Bibliography (PDF) Accommodations : A block of rooms has been reserved at the Rose Garden Inn. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show MSRI rate on all room types available. The cut-off date for reservations is August 27, 2010. A block of rooms has been reserved at the Hotel Durant. Please mention the workshop name and reference the following code when making reservations via phone, fax or e-mail: MSRIRANDOMMATRIX. If you are making your reservations on line, please go to Hotel Durant website, choose your dates of stay and enter the "123MSRI" promo code in the box. The cut-off date for reservations is August 12, 2010. The rate is $139 per night plus tax. New, completely renovated Hotel Shattuck Plaza has rooms available for you! MSRI’s preferred rate is $131. Guests can either call the hotel’s main line, 510-845-7300, and ask for the MSRI rate or go to http://www.hotelshattuckplaza.com, click on "Corporate Rates" in the reservation screen and type the code msri10.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Funding & Logistics Show All Collapse

Show Funding

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

Show Lodging

For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

Show Directions to Venue

Show Visa/Immigration

Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
Show All Collapse
Sep 13, 2010
09:25 AM - 09:40 AM
09:40 AM - 10:20 AM
  Perturbed Hankel Determinants: Applications to the Information Theory of MIMO Wireless Communications
Yang Chen
10:20 AM - 10:50 AM
10:50 AM - 11:30 AM
  Geodesic distance in planar maps: from matrix models to trees
Philippe Di Francesco (University of Illinois at Urbana-Champaign)
11:40 AM - 12:20 PM
  Exact results in the Random Matrix Theory approach to the theory of chaotic cavities
Francesco Mezzadri (University of Bristol)
12:20 PM - 02:15 PM
02:15 PM - 02:55 PM
  Genetics and large random matrices
Nicholas Patterson
02:55 PM - 03:45 PM
04:10 PM - 05:10 PM
  Beyond the Gaussian Universality Class <b>(at UC Berkeley-60 Evans Hall)</b>
Ivan Corwin (Columbia University)
Sep 14, 2010
09:30 AM - 10:10 AM
  Planar algebras and the Potts model on random graphs
Alice Guionnet (École Normale Supérieure de Lyon)
10:10 AM - 10:40 AM
10:40 AM - 11:20 AM
  Limiting distributions for TASEP, Last Passage Percolation and a few words on universality in KPZ
Sandrine Peche (Université de Paris VII (Denis Diderot))
11:30 AM - 12:10 PM
  Extreme gaps in the spectrum of Random Matrices
Gérard Ben Arous (New York University, Courant Institute)
12:10 PM - 02:00 PM
02:00 PM - 02:40 PM
  Cluster Expansions, Caustics and Counting Graphs
Nicholas Ercolani (University of Arizona)
02:50 PM - 03:30 PM
  Orthogonal and symplectic matrix models: universality and other properties
Mariya Shcherbina (B. Verkin Institute for Low Temperature Physics)
03:30 PM - 04:00 PM
04:00 PM - 04:40 PM
  Beta ensembles on the line, edge universality
Brian Rider (Temple University)
04:40 PM - 05:50 PM
Sep 15, 2010
09:30 AM - 10:10 AM
  Determinant expansions for perturbations of finite Toeplitz matrices
Estelle Basor (AIM - American Institute of Mathematics)
10:10 AM - 10:40 AM
10:40 AM - 11:20 AM
  Aspects of Toeplitz and Hankel determinants
Igor Krasovsky (Imperial College, London)
11:30 AM - 12:10 PM
  Universality in Non-Hermitian RMT
Gernot Akemann (Universität Bielefeld)
Sep 16, 2010
09:30 AM - 10:10 AM
  Universality of Wigner random matrices via the four moment theorem
Terence Tao (University of California, Los Angeles)
10:10 AM - 10:40 AM
10:40 AM - 11:20 AM
  Universality of Random Matrices, Dyson Brownian Motion and Local Semicircle Law
Horng-Tzer Yau (Harvard University)
11:30 AM - 12:10 PM
  (Random) Tri-Diagonal, Doubly Stochastic Matrices, Orthogonal Polynomials and Alternating Permutations
Persi Diaconis (Stanford University)
12:10 PM - 02:30 PM
02:30 PM - 03:10 PM
  Maximal eigenvalue in beta ensembles : large deviations and left tail of Tracy-Widom laws
Gaëtan BOROT
03:10 PM - 04:00 PM
04:00 PM - 04:40 PM
  Painleve Equations - Nonlinear Special Functions
Peter Clarkson
Sep 17, 2010
09:30 AM - 10:10 AM
Pierre van Moerbeke (Brandeis University; Université Catholique de Louvain)
10:10 AM - 10:40 AM
10:40 AM - 11:20 AM
  Vector equilibrium problem for the two-matrix model
Arno Kuijlaars (Katholieke Universiteit Leuven)
11:30 AM - 12:10 PM
  Universality Behviour of Solutions of Hamiltonian PDEs in Critical Regimes
Tamara Grava (University of Bristol; International School for Advanced Studies (SISSA/ISAS))
12:10 PM - 02:30 PM
02:30 PM - 03:10 PM
  Asymptotics for the Korteweg-de Vries equation and perturbations using Riemann-Hilbert methods
Tom Claeys (Université Catholique de Louvain)
03:10 PM - 04:00 PM
04:00 PM - 04:40 PM
  Six-vertex model of statistical mechanics and random matrix models
Pavel Bleher (Indiana University--Purdue University)