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Workshop

Random Matrix Theory and Its Applications I September 13, 2010 - September 17, 2010
Registration Deadline: September 13, 2010 about 4 years ago
To apply for Funding you must register by: June 13, 2010 over 4 years ago
Parent Program: Random Matrix Theory, Interacting Particle Systems and Integrable Systems
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)
Speaker(s)

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Description

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.


Funding & Logistics Show All Collapse

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

Students, recent Ph.D.'s, 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

MSRI has preferred rates at the Rose Garden Inn, depending on room availability. 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 the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code 123MSRI. Our preferred rate is $139 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule
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Sep 13, 2010
Monday
09:25 AM - 09:40 AM
  Welcome
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
  Tea
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
12:20 PM - 02:15 PM
  Lunch
02:15 PM - 02:55 PM
  Genetics and large random matrices
Nicholas Patterson
02:55 PM - 03:45 PM
  Tea
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
Tuesday
09:30 AM - 10:10 AM
  Planar algebras and the Potts model on random graphs
Alice Guionnet (Massachusetts Institute of Technology)
10:10 AM - 10:40 AM
  Tea
10:40 AM - 11:20 AM
  Limiting distributions for TASEP, Last Passage Percolation and a few words on universality in KPZ
Sandrine Péché
11:30 AM - 12:10 PM
  Extreme gaps in the spectrum of Random Matrices
Gerard Ben Arous
12:10 PM - 02:00 PM
  Lunch
02:00 PM - 02:40 PM
  Cluster Expansions, Caustics and Counting Graphs
Nicholas Ercolani
02:50 PM - 03:30 PM
  Orthogonal and symplectic matrix models: universality and other properties
Mariya Shcherbyna
03:30 PM - 04:00 PM
  Tea
04:00 PM - 04:40 PM
  Beta ensembles on the line, edge universality
Brian Rider (University of Colorado)
04:40 PM - 05:50 PM
  Reception
Sep 15, 2010
Wednesday
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
  Tea
10:40 AM - 11:20 AM
  Aspects of Toeplitz and Hankel determinants
Igor Krasovsky
11:30 AM - 12:10 PM
  Universality in Non-Hermitian RMT
Gernot Akemann
Sep 16, 2010
Thursday
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
  Tea
10:40 AM - 11:20 AM
  Universality of Random Matrices, Dyson Brownian Motion and Local Semicircle Law
Horng-Tzer Yau
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
  Lunch
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
  Tea
04:00 PM - 04:40 PM
  Painleve Equations - Nonlinear Special Functions
Peter Clarkson
Sep 17, 2010
Friday
09:30 AM - 10:10 AM
  TBD
Pierre van Moerbeke
10:10 AM - 10:40 AM
  Tea
10:40 AM - 11:20 AM
  Vector equilibrium problem for the two-matrix model
Arnoldus Kuijlaars
11:30 AM - 12:10 PM
  Universality Behviour of Solutions of Hamiltonian PDEs in Critical Regimes
Tamara Grava
12:10 PM - 02:30 PM
  Lunch
02:30 PM - 03:10 PM
  Asymptotics for the Korteweg-de Vries equation and perturbations using Riemann-Hilbert methods
Tom Claeys
03:10 PM - 04:00 PM
  Tea
04:00 PM - 04:40 PM
  Six-vertex model of statistical mechanics and random matrix models
Pavel Bleher (Indiana University--Purdue University)