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Summer Graduate School

Random Matrix theory July 06, 2009 - July 17, 2009
Organizers Jinho Baik ( University of Michigan), Percy Deift* (New York University),Toufic Suidan (University of Arizona), Brian Rider (University of Colorado)
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Description

List of lecturers:

Baik
Deift
Diaconis
Guionment
Its
Miller
Rider
Soshnikov

Schedule (PDF 89Kb)

Bibliography (PDF 9KB)

Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Schedule
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Jun 13, 2009
Saturday
09:30 AM - 10:30 AM
  Painleve Equations: The Riemann-Hilbert point of view
Alexander Its (Indiana University--Purdue University)
Jul 06, 2009
Monday
09:30 AM - 10:30 AM
  Invariant matrix ensembles: basic theory
Percy Deift (New York University, Courant Institute)
11:00 AM - 12:00 PM
  Random Permutations
Jinho Baik (University of Michigan)
02:00 PM - 03:00 PM
  Random Permutations 2
Jinho Baik (University of Michigan)
Jul 07, 2009
Tuesday
09:30 AM - 10:30 AM
  Invariant matrix ensembles: basic theory 2
Percy Deift (New York University, Courant Institute)
11:00 AM - 12:00 PM
  What the heck is Haar measure?
Persi Diaconis (Stanford University)
02:00 PM - 03:00 PM
  The four classical groups U(n), O(n), Sp(n), and Sn
Persi Diaconis (Stanford University)
Jul 08, 2009
Wednesday
09:30 AM - 10:30 AM
  Invariant matrix ensembles: basic theory 3
Percy Deift (New York University, Courant Institute)
11:00 AM - 12:00 PM
  Random Permutations 3
Jinho Baik (University of Michigan)
02:00 PM - 03:00 PM
  Applications, Extensions and Questions
Persi Diaconis (Stanford University)
03:30 PM - 04:30 PM
  Beta ensembles and Edelman-Sutton conjectures
Brian Rider (University of Colorado)
Jul 09, 2009
Thursday
09:30 AM - 10:30 AM
  Invariant matrix ensembles: basic theory 4
Percy Deift (New York University, Courant Institute)
11:00 AM - 12:00 PM
  Random Permutations 4
Jinho Baik (University of Michigan)
02:00 PM - 03:00 PM
  The general beta soft edge
Brian Rider (University of Colorado)
Jul 10, 2009
Friday
09:30 AM - 10:30 AM
  Invariant matrix ensembles: basic theory 5
Percy Deift (New York University, Courant Institute)
11:00 AM - 12:00 PM
  Hard edge and transition
Brian Rider (University of Colorado)
01:30 PM - 02:30 PM
  Bulk limits and open problems
Brian Rider (University of Colorado)
Jul 13, 2009
Monday
09:30 AM - 10:30 AM
  Painleve Equations: The Riemann-Hilbert point of view
Alexander Its (Indiana University--Purdue University)
11:00 AM - 12:15 PM
  Wigner Matrices; Global Asymptotics and Combinatorics of Moments
Alice Guionnet (Massachusetts Institute of Technology)
02:00 PM - 03:00 PM
  Unitary Ensembles and Orthogonal Polynomials
Peter Miller
Jul 14, 2009
Tuesday
09:30 AM - 10:30 AM
  Painleve Equations. The Riemann-Hilbert Point of View
Alexander Its (Indiana University--Purdue University)
11:00 AM - 12:15 PM
  Wigner Matrices; Global Asymptotics and Combinatorics of Moments
Alice Guionnet (Massachusetts Institute of Technology)
02:00 PM - 03:00 PM
  Riemann-Hilbert Problems: Theory and Solution Techniques
Peter Miller
Jul 15, 2009
Wednesday
09:30 AM - 10:30 AM
  Painleve Equations. The Riemann-Hilbert Point of View
Alexander Its (Indiana University--Purdue University)
11:00 AM - 12:15 PM
  Wigner Matrcies; Global Asymptoics and Combinatorics of Moments
Alice Guionnet (Massachusetts Institute of Technology)
Jul 16, 2009
Thursday
09:30 AM - 10:30 AM
  Asymptotic Analysis of Orthogonal Polynomials I
Peter Miller
02:00 PM - 04:00 PM
  The Asymmetric Simple Exclusion Model: Integrable Structure and Limit Theorems
Craig Tracy (University of California, Davis)
Jul 17, 2009
Friday
09:30 AM - 10:30 AM
  Asymptotic Analysis of Orthogonal Polynomials II
Peter Miller
11:00 AM - 12:15 PM
  Painleve Equations. The Riemann-Hilbert Point of View
Alexander Its (Indiana University--Purdue University)