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Workshop

Random Matrix Theory and its Applications II December 06, 2010 - December 10, 2010
Registration Deadline: December 06, 2010 almost 4 years ago
To apply for Funding you must register by: September 06, 2010 about 4 years ago
Organizers Alexei Borodin* (California Institute of Technology), Percy Deift (Courant Institute of Mathematical Sciences), Alice Guionnet (Ecole Normale Supérieure de Lyon), Pierre van Moerbeke (Universite Catholique de Louvain and Brandeis University), 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 Wignerinthe 1950s as a model for the scattering resonances of neutrons off large nuclei. In multivariate 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.
In the spring of 1999, MSRI hosted a very successful and influential one-semester program on RMT and its applications. At the workshops during the semester, there was a sense of excitement as brand new and very recent results were reported. The goal of the 2010 Program is to showcase the many remarkable developments that have taken place since 1999 and to spur further developments in RMT and related areas of interacting particle systems (IPS) and integrable systems (IS) as well as to highlight various applications of RMT.

Invited Speakers

Mark Adler (Brandeis University), Ioana Dumitriu (Massachusetts Institute of Technology, MIT), Alan Edelman (Massachusetts Institute of Technology, MIT), Partik Ferrari (University of Bonn), Nikolai Makarov (California Institute of Technology), Neil O'Connell (University of Warwick), Andrei Okounkov (Princeton University), Jeremy Quastel (University of Toronto), Nikolai Reshetikhin (University of California, Berkeley), Tomohiro Sasamoto (Tokyo Institute of Technology), Timo Seppäläinen (University of Wisconsin), Herbert Spohn (Technical University of Munich), Kazumasa Takeuchi (University of Tokyo), Benedek Valko (University of Wisconsin), Balint Virag (University of Toronto), Harold Widom (University of California, Santa Cruz), Paul Wiegmann (University of Chicago), Lauren Williams (University of California, Berkeley)

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 November 19, 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.

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 MSRI123. Our preferred rate is $129 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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Dec 06, 2010
Monday
08:30 AM - 08:45 AM
  Welcome
08:45 AM - 09:45 AM
  The Dyson Brownian Minor Process and Consecutive Minors
Mark Adler
09:45 AM - 10:15 AM
  Tea
10:15 AM - 11:15 AM
  A Useful Integral Representation in ASEP
Harold Widom
11:30 AM - 12:30 PM
  The KPZ Equation: Lattice Discretizations and Replica
Herbert Spohn
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Height Distributions in One-Dimensional Surface Growth: from ASEP to KPZ Equation
Tomohiro Sasamoto
03:00 PM - 03:30 PM
  Tea
04:10 PM - 05:00 PM
  Asymptotics of Random Matrices
Alice Guionnet (Massachusetts Institute of Technology)
Dec 07, 2010
Tuesday
09:00 AM - 10:00 AM
  TASEP and Gaussian Ensembles: Analogies and Differences
Patrik Ferrari
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  The Continuum Random Polymer and KPZ
Jeremy Quastel
11:30 AM - 12:30 PM
  Tracy-Widom Distributions in Experiment: Evidence in Growing Interfaces of Liquid Crystal Turbulence
Kazumasa Takeuchi
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Scaling Exponents for Certain 1+1-Dimensional Directed Polymers
Timo Seppalainen
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  A Combinatorial Approach to the Asymmetric Exclusion Process
Lauren Williams (University of California, Berkeley)
05:00 PM - 06:30 PM
  Reception
Dec 08, 2010
Wednesday
09:00 AM - 10:00 AM
  Universality Limits for Random Matrices via Classical Complex Analysis
Doron Lubinsky
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Emergent Conformal Symmetry in Dyson-Selberg Integrals
Paul Wiegmann (University of Chicago)
11:30 AM - 12:30 PM
  TBA
Nikolai Makarov (California Institute of Technology)
Dec 09, 2010
Thursday
09:00 AM - 10:00 AM
  Finite-Rank Pertutbations of Real Random Matrices
Balint Virag
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Noncommutative Geometry and Painlevé
Andrei Okounkov (Columbia University)
11:30 AM - 12:30 PM
  On Height Functions
Nicolai Reshetikhin (University of California, Berkeley)
12:30 PM - 02:30 PM
  Lunch
02:30 PM - 03:30 PM
  Target Detection and Localization in the Presence of Noise
Knut Solna
03:30 PM - 04:00 PM
  Tea
04:00 PM - 05:00 PM
  Directed Polymers and the Quantum Toda Lattice
Neil O'Connell
Dec 10, 2010
Friday
09:00 AM - 10:00 AM
  What are the Eigenvalues of a Sum of Non-Commuting Random Symmetric Matrices? : A "Quantum Information" inspired Answer.
Alan Edelman (Massachusetts Institute of Technology)
10:00 AM - 10:30 AM
  Tea
10:30 AM - 11:30 AM
  Global Fluctuations for \(\beta\)-Jacobi Ensembles
Ioana Dumitriu
11:30 AM - 12:30 PM
  \(\lambda\) Expansions of Fredholm Determinants and the Borodin-Okounkov Identity
Nicholas Witte
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Scaling Limits of Beta Ensembles
Benedek Valko
03:00 PM - 03:30 PM
  Tea
03:30 PM - 04:30 PM
  Some Remarks on Random Matrix Theory and Statistics
Noureddine El Karoui