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Integrable Systems, Random Matrices, and Applications

Courant Institute of Mathematical Sciences
New York University, New York, NY 
May 22 - 26, 2006

Conference in honor of Percy Deift´s 60th birthday

Support by the American Institute of Mathematics, the Courant Institute of Mathematical Sciences, and the National Science Foundation

The Courant Institute is at 251 Mercer Street in Manhattan
between 4th and 3rd Streets.



DATES, TIMES, AND LOCATION
The conference will be held at the Courant Institute of Mathematical Sciences  of  New York University  from May 22 through May 26 of 2006.

The talks will take place at the Courant Institute, which is located at 251 Mercer Street (corner of Mercer Street and West 4th Street) in Manhattan.

ORGANIZING COMMITTEE
Jinho Baik, Thomas Kriecherbauer, Luen-Chau Li, Ken McLaughlin, Peter Sarnak, Carlos Tomei, and Xin Zhou

If you have any question, please feel free to contact us.

SPEAKERS
Mark Ablowitz, UC Boulder:
Integrable Systems: Painlev'e - Chazy - Ramanujan
Michael Aizenman, Princeton:
Green function fluctuations and spectral properties of random operators
Eitan Bachmat, Ben-Gurion University:
Airplane boarding, spacetime geometry and RMT
Gerard Ben Arous, Courant:
Edges of random spectra and Free Extreme Values
Tony Bloch, Univ. Michigan:
Integrable Geodesic Flows on Manifolds
Alexei Borodin, Caltech:
Periodic Schur process
Persi Diaconis, Stanford:
Method of Miracles
Ioana Dumitriu, UC Berkeley:
Concentration results for $beta$-Hermite and $beta$-Laguerre ensembles
Patrik Ferrari, TU Munich:
Polynuclear growth on a flat substrate and edge scaling of GOE eigenvalues
Athanassios Fokas, Cambridge:
The d-bar method, imaging and integrability in 3+1 and 4+2
Dimitri Gioev, University of Rochester:
Entanglement entropy of fermions in any dimension and the Widom conjecture
Tamara Grava, SISSA:
Numerical solution of the small dispersion limit of the KdV, Whitham and Painleve' equations
Rainer Hempel, TU Braunschweig:
Eigenvalues in gaps of the essential spectrum: an overview
Alexander Its, IUPUI:
On the asymptotic analysis of the distribution functions of the random matrix theory
Kurt Johansson, KTH Stockholm:
On some special growth models
Thomas Kappeler, Univ. Zurich:
Hamiltonian pertubations of the Toda lattice
Arno Kuijlaars, KU Leuven:
Steepest descent analysis of the Riemann-Hilbert problem for multiple Hermite polynomials 
Doron Lubinsky, Georgia Tech:
Orthogonal and Biorthogonal Polynomials
Andrei Martinez-Finkelshtein, Univ. Almeria:
Szego polynomials for analytic weights: the Riemann-Hilbert approach
Peter Miller, U. Michigan:
The Semiclassical Focusing Nonlinear Schroedinger Equation
Pierre van Moerbeke, Univ. Louvain and Brandeis:
Critical infinite - dimensional diffusions and non-linear equations
Charles Newman, Courant Institute:
The scaling limit of critical percolation in two dimensions
Viktor Novokshenov, Institute of Math., Russian Acad. Sci.:
Asymptotics in the complex plane of the third Painleve transcendent
Andrei Okounkov, Princeton:
Beyond random matrices
Leonid Pastur, Institute of Low Temperatures, Kharkiv:
Limiting Laws of Linear  Eigenvalue Statistics for Hermitian Matrix Models
Peter Sarnak, Princeton:
Random Matrix Theory and Zeta Functions
Barry Simon, Caltech:
Spectral Theory of Orthogonal Polynomials with Perturbed Periodic Coefficients
Tom Spencer, IAS:
Supersymmetric models of band random matrices
Toufic Suidan, UC Santa Cruz:
Random Matrix Central Limit Theorems for Nonintersecting Random Walks
Carlos Tomei, PUC, Rio de Janeiro:
TBA
Alexander Tovbis, U. Central Florida:
Semi-classical limit for focusing Nonlinear Schroedinger Equation
Harold Widom, UC Santa Cruz:
Asymptotics of some solutions to the cylindrical Toda equations
Xin Zhou, Duke University:
TBA
POSTERS
Robert Buckingham:
Exact scattering data for the semiclassical sine-Gordon equation
Tom Claeys:
Universality of the double scaling limit in random matrix ensembles
Filippo Colomo:
Square ice, alternating sign matrices and orthogonal polynomials
Evi Daems:
Non-intersecting Brownian Motions
Jesus Sanchez Dehesa:
Information entropies of orthogonal polynomials
Patrick Desrosiers:
Multiple functions and asymptotic correlations for perturbed random matrix ensembles
Jeffery Difranco:
Gibbs Phenomenon for the Defocusing Nonlinear Schroedinger Equation
Maurice Duits:
Painlev'e I asymptotics of orthogonal polynomials with respect to a quartic potential; a Riemann-Hilbert approach
Peter Eichelsbacher:
Ordered random walks
Saugata Ghosh:
Generalized Christoffel-Darboux formula for skew-orthogonal polynomials and random matrix theory
Rafael Hernandez Heredero:
The Backlund transformation of the complex Toda lattice (with D. Barios Rolania)
Akhtam Khatamov:
On the Best Polynomial Approximations of Functions in Many Real Variables
Christian Klein:
Numerical Study of oscillatory Regions in KP Solutions
Thomas Kriecherbauer:
Universality for orthogonal and symplectic Laguerre-type ensembles
Ken McLaughlin:
Applications of a complete asymptotic expansion of the partition function
Sandrine Peche:
The largest eigenvalue of some Deformed Random Matrix Ensembles
Michael Stolz:
Random matrices, symmetric spaces, and mesoscopic physics
Arthur Vartanian:
Variational Problems Associated with the Asymptotic Study of General Orthogonal Rational Functions: The Riemann-Hilbert Problem Approach
Hugo Woerdeman:
Interlacing Property of Roots of  Certain Biorthogonal Polynomials
CONFERENCE FORMAT
There will be approximately 30 talks of 45 minutes length each, from the areas of integrable systems, random matrices, spectral theory, probability and statistics, approximation theory and number theory. In addition we will have sessions for the presentation of posters and for the discussion of future directions of research. Those who wish to give a talk or to present a poster should indicate this on the registration form, which has to be submitted before MARCH 1, 2006. The program of the conference will be available by the end of March.

If you have any question, please feel free to contact us.


PARKING
 Please check here for details on parking garages close to the Courant Institute.
 
TRAVEL AND HOTELS
Two blocks of reservations have been made for participants:

-NYU Dorms
-NYU Club Quarters in lower Manhattan.

See Accomodations for details.


ABOUT THIS WEBSITE
This website was last updated on May 16, 2006.