Site Search
Random Matrix Theory and Its Applications I
Sep 13, 2010 to Sep 17, 2010

Organizer(s)

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)
To apply for funding, you must register by Sun, Jun 27 2010.
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

To apply for funding, you must register by Sun, Jun 27 2010. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Schedule
Monday, September 13, 2010
9:25AM - 9:40AM Welcome
9:40AM - 10:20AM Yang Chen Perturbed Hankel Determinants: Applications to the Information Theory of MIMO Wireless Communications [Video available]
10:20AM - 10:50AM Tea
10:50AM - 11:30AM Philippe di Francesco Geodesic distance in planar maps: from matrix models to trees [Video available]
11:40AM - 12:20PM Francesco Mezzadri Exact results in the Random Matrix Theory approach to the theory of chaotic cavities [Video available]
12:20PM - 2:15PM Lunch
2:15PM - 2:55PM Nicholas Patterson Genetics and large random matrices [Video available]
2:55PM - 3:45PM Tea
4:10PM - 5:10PM Ivan Corwin Beyond the Gaussian Universality Class (at UC Berkeley-60 Evans Hall)
Tuesday, September 14, 2010
9:30AM - 10:10AM Alice Guionnet Planar algebras and the Potts model on random graphs [Video available]
10:10AM - 10:40AM Tea
10:40AM - 11:20AM Sandrine Péché Limiting distributions for TASEP, Last Passage Percolation and a few words on universality in KPZ [Video available]
11:30AM - 12:10PM Gerard Ben Arous Extreme gaps in the spectrum of Random Matrices [Video available]
12:10PM - 2:00PM Lunch
2:00PM - 2:40PM Nicholas Ercolani Cluster Expansions, Caustics and Counting Graphs [Video available]
2:50PM - 3:30PM Mariya Shcherbyna Orthogonal and symplectic matrix models: universality and other properties [Video available]
3:30PM - 4:00PM Tea
4:00PM - 4:40PM Brian Rider Beta ensembles on the line, edge universality [Video available]
4:40PM - 5:50PM Reception
Wednesday, September 15, 2010
9:30AM - 10:10AM Estelle Basor Determinant expansions for perturbations of finite Toeplitz matrices [Video available]
10:10AM - 10:40AM Tea
10:40AM - 11:20AM Igor Krasovsky Aspects of Toeplitz and Hankel determinants [Video available]
11:30AM - 12:10PM Gernot Akemann Universality in Non-Hermitian RMT [Video available]
Thursday, September 16, 2010
9:30AM - 10:10AM Terence Tao Universality of Wigner random matrices via the four moment theorem [Video available]
10:10AM - 10:40AM Tea
10:40AM - 11:20AM Horng-Tzer Yau Universality of Random Matrices, Dyson Brownian Motion and Local Semicircle Law [Video available]
11:30AM - 12:10PM Persi Diaconis (Random) Tri-Diagonal, Doubly Stochastic Matrices, Orthogonal Polynomials and Alternating Permutations [Video available]
12:10PM - 2:30PM Lunch
2:30PM - 3:10PM Gaëtan BOROT Maximal eigenvalue in beta ensembles : large deviations and left tail of Tracy-Widom laws [Video available]
3:10PM - 4:00PM Tea
4:00PM - 4:40PM Peter Clarkson Painleve Equations - Nonlinear Special Functions [Video available]
Friday, September 17, 2010
9:30AM - 10:10AM Pierre van Moerbeke TBD
10:10AM - 10:40AM Tea
10:40AM - 11:20AM Arnoldus Kuijlaars Vector equilibrium problem for the two-matrix model [Video available]
11:30AM - 12:10PM Tamara Grava Universality Behviour of Solutions of Hamiltonian PDEs in Critical Regimes [Video available]
12:10PM - 2:30PM Lunch
2:30PM - 3:10PM Tom Claeys Asymptotics for the Korteweg-de Vries equation and perturbations using Riemann-Hilbert methods [Video available]
3:10PM - 4:00PM Tea
4:00PM - 4:40PM Pavel Bleher Six-vertex model of statistical mechanics and random matrix models [Video available]


Questions about this workshop should be sent either by email to
or by regular mail to:
Random Matrix Theory and Its Applications I
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



|