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Workshop

Recent Progress in Random Matrix Theory and Its Applications September 23, 2002 - September 27, 2002
Registration Deadline: September 27, 2002 over 16 years ago
To apply for Funding you must register by: June 23, 2002 almost 17 years ago
Parent Program: --
Organizers Estelle Basor (co-chair), Alexander Its, Persi Diaconis, and Craig Tracy (co-chair)
Speaker(s)

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Description
The purpose of this workshop is to build on the successful Spring 1999 MSRI Semester Program: Random Matrix Models and Their Applications. Since the 1999 program many developments continue in random matrix theory and its applications to combinatorics, growth processes, number theory, queueing theory, representation theory, and statistics. This workshop will focus on the current directions of random matrix theory and its many applications. Invited Speakers: Mark Adler (Brandeis University) Jinho Baik (Princeton University) Estelle Basor (California State Polytechnic University, San Luis Obispo) Pavel Bleher (IUPUI) Albrecht Boettcher (Chemnitz University of Technology) Alexei Borodin (Clay Mathematics Institute) Anne Boutet de Monvel (Université de Paris 7 (Diderot)) Yang Chen (Imperial College, London) Percy Deift (New York University, Courant Institute) Persi Diaconis (Stanford University) Freeman Dyson (Institute for Advanced Study) Janko Gravner (University of California, Davis) Alice Guionnet (École Normale Supérieure de Lyon) John Harnad (Université de Montreal and Concordia University) Alexander Its (IUPUI) Kurt Johansson (KTH - Kungl Tekniska Högskolan) Iain Johnstone (Stanford University) Ken McLaughlin (University of North Carolina, Chapel Hill) Motohico Mulase (University of California, Davis) Andrei Okounkov (University of California, Berkeley/Princeton University) Eric Rains (AT&T Laboratories) Alexander Soshnikov (University of California, Davis) Pierre van Moerbeke (Université Catholique de Louvain) Dan-Virgil Voiculescu (University of California, Berkeley) This workshop is held on the occasion of the seventieth birthday of Harold Widom. There will be a banquet on the evening of September 23 to celebrate this event.            
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

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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.

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MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.

MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).

MSRI has preferred rates 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 "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (coord@msri.org).

MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

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

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Schedule, Notes/Handouts & Videos
Show Schedule, Notes/Handouts & Videos
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Sep 23, 2002
Monday
09:00 AM - 09:15 AM
  Welcome & Introduction
09:15 AM - 10:15 AM
  Random matrices, neutron capture levels, quasicrystals and zeta-function zeros
Freeman Dyson
10:15 AM - 10:45 AM
  Morning Tea
10:45 AM - 11:45 AM
  Virasoro and random matrices, permutations and walks
Pierre van Moerbeke
11:45 AM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Random growth and determinantal processes
Kurt Johansson
02:30 PM - 03:30 PM
  Growth models and random environments
Janko Gravner
03:30 PM - 04:00 PM
  Afternoon Tea
04:10 PM - 05:00 PM
  MSRI/Evans Talk: Integrable systems
06:30 PM - 09:30 PM
  Banquet
Sep 24, 2002
Tuesday
09:00 AM - 10:00 AM
  Graphical expansion of non-commutative matrix integrals
Motohico Mulase (University of California, Davis)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Free probability aspects of random matrices
Dan Virgil Voiculescu (University of California, Berkeley)
11:30 AM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  First order asymptotics of matrix integrals
Alice Guionnet (École Normale Supérieure de Lyon)
02:30 PM - 03:30 PM
  On the largest eigenvalue of a random subgraph of the hypercube
Alexander Soshnikov
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Vanishing integrals and symmetric spaces
Eric Rains (California Institute of Technology)
05:00 PM - 06:00 PM
  Reception
Sep 25, 2002
Wednesday
09:00 AM - 10:00 AM
  Critical phenomena in random matrix models
Pavel Bleher (Indiana University--Purdue University)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Some different roads in random matrix theory
Persi Diaconis (Stanford University)
11:30 AM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Some largest eigenvalue problems in statistics
Iain Johnstone
02:30 PM - 03:30 PM
  Small eigenvalues of large Hankel matrices
Yang Chen
03:30 PM - 04:00 PM
  Afternoon Tea
04:00 PM - 05:00 PM
  Discrete log-gas models with arbitrary beta
Alexei Borodin (Massachusetts Institute of Technology)
Sep 26, 2002
Thursday
09:00 AM - 10:00 AM
  mKdv on the halfline
Anne Boutet de Monvel
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Randomly perturbed Toeplitz matrices
Albrecht Boettcher
11:30 AM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Dimers and amoebas
Andrei Okounkov (Columbia University)
02:30 PM - 03:30 PM
  Asymptotics of general discrete orthogonal polynomials with applications to discrete Coulomb gas and Hexagon tiling
Jinho Baik (University of Michigan)
03:30 PM - 04:00 PM
  Afternoon Tea
Sep 27, 2002
Friday
09:00 AM - 10:00 AM
  Two-matrix models, duality and the Riemann-Hilbert problem associated to biorthogonal polynomials
John Harnad
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  A complete asymptotic expansion for the partition function of random matrix theory via Riemann-Hilbert techniques
Ken McLaughlin
11:30 AM - 01:30 PM
  Lunch
01:30 PM - 02:30 PM
  Applications of the Borodin-Okounkov Identity
Estelle Basor (AIM - American Institute of Mathematics)
02:30 PM - 03:30 PM
  The Riemann-Hilbert method as a non-commutative analog of contour integral representations
Alexander Its (Indiana University--Purdue University)
03:30 PM - 04:00 PM
  Afternoon Tea