Random matrix theory satellite meeting - Gregynog Hall, Wales

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Workshop theme

Supported by The European Science Foundation (ESF) through its project "Random Dynamics in Spatially Extended Systems"

In recent years, new surge of activity in random matrix theory generated an exciting display of new insights, concepts and results from algebraic geometry, classical and functional analysis, combinatorics, integrable systems, number theory, operator algebras and probability, with applications in quantum mechanics, quantum field theory, statistical mechanics and condensed matter theory. The list of problems where the theory of random matrices has produced important insights includes Ulam's problem of the longest increasing subsequence in a random permutation, related problems about asymptotics of Toeplitz determinants, directed first-passage percolation, asymptotic distributions in queueing systems, random Young tableaux, partitions of natural numbers and zeroes of the Riemann Zeta-function.

Timetable

Sunday 14th September 2003
09:30 to 18:00	Coach departing from Newton Institute to Gregynog Hall, Wales	Meeting Room
14:00 to 14:45	Kenneth McLaughlin University of North Carolina Riemann-Hilbert problems, d-bar problems, rational interpolation and asymptotics of orthogonal polynomial ensembles of random variables I	Meeting Room
14:45 to 14:55	Break	Meeting Room
14:55 to 15:40	Kenneth McLaughlin University of North Carolina Riemann-Hilbert problems, d-bar problems, rational interpolation and asymptotics of orthogonal polynomial ensembles of random variables II	Meeting Room
15:40 to 16:00	Break	Meeting Room
16:00 to 16:45	Fluctuations in one-dimensional growth I	Meeting Room
16:45 to 16:55	Break	Meeting Room
16:55 to 17:40	Fluctuations in one-dimensional growth II	Meeting Room

Monday 15th September 2003
09:00 to 09:45	Victor Tchoulaevski Université de Reims Champagne-Ardenne A new class of integrable 1-D quantum particle systems in an external potential I	Meeting Room
09:45 to 09:55	Break	Meeting Room
09:55 to 10:40	Victor Tchoulaevski Université de Reims Champagne-Ardenne A new class of integrable 1-D quantum particle systems in an external potential II	Meeting Room
10:40 to 11:00	Break	Meeting Room
11:00 to 11:45	Entropy bounds for Gibbs measures with non-Gaussian tails I	Meeting Room
11:45 to 11:55	Break	Meeting Room
11:55 to 12:40	Entropy bounds for Gibbs measures with non-Gaussian tails II	Meeting Room
12:40 to 14:00	Lunch	Meeting Room
14:00 to 14:45	Correlation functions of characteristic polynomials of random Hermitian matrices I	Meeting Room
14:45 to 14:55	Break	Meeting Room
14:55 to 15:40	Correlation functions of characteristic polynomials of random Hermitian matrices II	Meeting Room
15:40 to 16:00	Break	Meeting Room
16:00 to 16:45	Distribution of eigen-values of non-symmetric Jacobi matrices I	Meeting Room
16:45 to 16:55	Break	Meeting Room
16:55 to 17:40	Distribution of eigen-values of non-symmetric Jacobi matrices II	Meeting Room

Tuesday 16th September 2003
09:00 to 09:45	Herbert Spohn Technische Universität München The PNG growth model and random matrices I	Meeting Room
09:45 to 09:55	Break	Meeting Room
09:55 to 10:40	Herbert Spohn Technische Universität München The PNG growth model and random matrices II	Meeting Room
10:40 to 11:00	Break	Meeting Room
11:00 to 11:45	A representation for Brownian motion in a Weyl chamber I	Meeting Room
11:45 to 11:55	Break	Meeting Room
11:55 to 12:40	A representation for Brownian motion in a Weyl chamber II	Meeting Room
12:40 to 14:00	Lunch	Meeting Room
14:00 to 14:45	Random matrices with external source and multiple orthogonal polynomials I	Meeting Room
14:45 to 15:00	Break	Meeting Room
15:00 to 15:45	Pavel Bleher Random matrices with external source and multiple orthogonal polynomials II	Meeting Room
15:45 to 16:00	Break	Meeting Room
16:00 to 16:45	Pavel Bleher Random matrices with external source and multiple orthogonal polynomials III	Meeting Room

Wednesday 17th September 2003
09:00 to 09:45	Uffe Haagerup University of Southern Denmark Applications of random matrices to problems in C*-algebras I	Meeting Room
09:45 to 09:55	Break	Meeting Room
09:55 to 10:40	Uffe Haagerup University of Southern Denmark Applications of random matrices to problems in C*-algebras II	Meeting Room
10:40 to 11:00	Break	Meeting Room
11:00 to 11:45	Hanne Schultz University of Southern Denmark Non-commutative polynomials of independent Gaussian random matrices. The real and symplectic cases	Meeting Room
11:45 to 11:55	Break	Meeting Room
11:55 to 12:40	Parametric evolution of random matrix spectra	Meeting Room
12:40 to 14:00	Lunch	Meeting Room
14:00 to 18:00	Excursion to Powis Castle	Meeting Room

Thursday 18th September 2003
09:00 to 09:45	Oriol Bohigas Spectral properties of distance matrices I	Meeting Room
09:45 to 09:55	Break	Meeting Room
09:55 to 10:40	Oriol Bohigas Spectral properties of distance matrices II	Meeting Room
10:40 to 11:00	Break	Meeting Room
11:00 to 11:45	Gordon Blower Lancaster University Transportation of measure for Young diagrams and random matrices I	Meeting Room
11:45 to 11:55	Break	Meeting Room
11:55 to 12:40	Gordon Blower Lancaster University Transportation of measure for Young diagrams and random matrices II	Meeting Room
12:40 to 14:00	Lunch	Meeting Room
14:00 to 14:45	Kurt Ove Johansson The Arctic Circle and the Airy process I	Meeting Room
14:45 to 14:55	Break	Meeting Room
14:55 to 15:40	Kurt Ove Johansson The Arctic Circle and the Airy process II	Meeting Room
15:40 to 16:00	Break	Meeting Room
16:00 to 16:45	Janossy Densities of the determinantal and Pfaffian ensembles I	Meeting Room
16:45 to 16:55	Break	Meeting Room
16:55 to 17:40	Janossy Densities of the determinantal and Pfaffian ensembles II	Meeting Room

Friday 19th September 2003
09:00 to 09:45	Joel Lebowitz Rutgers, The State University of New Jersey Superhomogeneous systems I	Meeting Room
09:45 to 09:55	Break	Meeting Room
09:55 to 10:40	Joel Lebowitz Rutgers, The State University of New Jersey Superhomogeneous systems II	Meeting Room
10:40 to 11:00	Break	Meeting Room
11:00 to 11:45	On the edge universality in the unitrary invariant matrix models I	Meeting Room
11:45 to 11:55	Break	Meeting Room
11:55 to 12:40	On the edge universality in the unitrary invariant matrix models II	Meeting Room
12:40 to 14:00	Lunch	Meeting Room
15:00 to 18:00	Coach departing from Gregynog Hall, Wales to Newton Institute	Meeting Room

Speakers

Pavel Bleher
Gordon Blower Lancaster University
Oriol Bohigas
Uffe Haagerup University of Southern Denmark
Kurt Ove Johansson
Joel Lebowitz Rutgers, The State University of New Jersey
Kenneth McLaughlin University of North Carolina
Hanne Schultz University of Southern Denmark
Herbert Spohn Technische Universität München
Victor Tchoulaevski Université de Reims Champagne-Ardenne

Random matrix theory satellite meeting - Gregynog Hall, Wales

Workshop theme

Timetable

Speakers

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