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Summer Graduate School

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

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Teaching Assistants(s)

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Speaker(s)

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Description

List of lecturers:

Baik
Deift
Diaconis
Guionnet
Its
Miller
Rider
Soshnikov

Schedule (PDF 89Kb)

Bibliography (PDF 9KB)

Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Schedule, Notes/Handouts & Videos
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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 (Temple University)
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 (Temple University)
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 (Temple University)
01:30 PM - 02:30 PM
  Bulk limits and open problems
Brian Rider (Temple University)
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 (École Normale Supérieure de Lyon)
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 (École Normale Supérieure de Lyon)
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 (École Normale Supérieure de Lyon)
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)