Localization and Lyapunov Exponents

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Organizer: Jean Bourgain and Thomas Spencer, Institute for Advanced Study
Date: April 3, 2000 - April 7, 2000
Location:

Seminar Room
Mathematics Building
Institute for Advanced Study
Olden Lane
Princeton, New Jersey

Confirmed Participants

Michael Aizenman	Princeton University
Rene Carmona	Princeton University
Hakan Eliasson	Royal Institute of Technology
Hillel Furstenberg	Hebrew University
Francois Germinet	Universite de Lille I
Ilya Goldsheid	Queen Mary & Westfield College
Michael Goldstein	IAS/University of Toronto
Michael Herman	University of Paris VII
Svetlana Jitomirskaya	University of California
Irvine Abel Klein	University of California, Irvine
Denis Kosygin	Princeton University
Raphael Krikorian	Centre de Mathematiques de l'Ecole Polytechnique
Yoram Last	California Institute of Technology
Stanislav Molchanov	University of North Carolina
Wilhelm Schlag	Princeton University
Barry Simon	California Institute of Technology
Yakov Sinai	Princeton University
Stephanos Venakides	Duke University
Lai-Sang Young	Courant Institute of Math

Preliminary Agenda

Monday, April 3

11 am - 12	Yakov Sinai, Princeton University "Transport in Quasi-Periodic Media."
12 - 2	LUNCH, Institute Dining Hall
2 - 3	Jean Bourgain, Institute for Advanced Study Title to be announced
3 - 3:30	REFRESHMENT BREAK, Fuld Hall Common Room
3:30 - 4:30	Michael Aizenman, Princeton University Title to be announced
4:30 - 5:30	Yoram Last, California Institute of Technology "Surface States and the Aizenman-Molchanov Proof of Localization."

Tuesday, April 4

11 am - 12	Hillel Furstenberg, The Hebrew University "Ergodic Theory and Fractal Geometry."
12 - 2	LUNCH, Institute Dining Hall
2 - 3	Hakan Eliasson, Royal Institute of Technology "Floquet Solutions for the 2-Dimensional Quasi-Periodic Schrodinger Equation."
3 - 3:30	REFRESHMENT BREAK, Fuld Hall Common Room
3:30 - 4:30	Stanislav Molchanov, University of North Carolina "Schrodinger Operators with the Mixed Spectrum."
4:30 - 5:30	Ilya Goldsheid, Queen Mary & Westfield College "Matrices Depending on a Parameter and Extended and Localized States in Quasi-One-Dimensional Non-Hermitian Anderson Model."

Wednesday, April 5

11 am - 12	Svetlana Jitomirskaya, University of California, Irvine Title to be announced
12 - 2	LUNCH, Institute Dining Hall
2 - 3	Michael Goldstein, IAS/University of Toronto Title to be announced
3 - 4	REFRESHMENT BREAK, Fuld Hall Common Room
4 - 5	Wilhelm Schlag, Princeton University Title to be announced

Thursday, April 6

11 am - 12	Lai-Sang Young, Courant Institute of Math "Analysis of a Class of Strange Attractors."
12 - 2	LUNCH, Institute Dining Hall
2 - 3	Michael Herman, University of Paris VII "Is the Metrical Entropy of the Standard Map Exponentially Small (Physically Zero) for Small Values of the Parameter?"
3 - 4	REFRESHMENT BREAK, Fuld Hall Common Room
4 - 5	Denis Kosygin, Princeton University Title to be announced

Friday, April 7

11 am - 12	Rene Carmona, Princeton University Title to be announced
12 - 2	LUNCH, Institute Dining Hall
2 - 3	Abel Klein, University of California, Irvine "Bootstrap Multiscale Analysis and Strong Dynamical Localization."
3 - 4	REFRESHMENT BREAK, Fuld Hall Common Room
4 - 5	Stephanos Venakides, Duke University "Transmission Properties of Linear and Nonlinear Photonic Crystals."

Workshop Concludes

In partnership with the Clay Mathematics Institute, the School of Mathematics at the Institute for Advanced Study will be holding a workshop on Localization and Lyapunov Exponents during April 3 - 7, 2000.

The primary focus of this workshop is the study of Schrodinger operators with quasi-periodic or random potentials.  In addition, we shall include the analysis of Lyapunov Exponents for dynamic systems such as the standard map.

More information about specific times for workshop activites can be obtained by contacting Michelle Huguenin at huguenin@ias.edu.

Information concerning transportation and accommodation may be found at http://www.princetonol.com/local/ and http://www.math.ias.edu/localinfo.html.