Workshop on Localization and Lyapunov Exponents

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
"Localization for Lattice Schrodinger Operators With
Deterministic Potentials."

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

4:30 - 5:30 Ilya Goldsheid, Queen Mary & Westfield College
"Matrices Depending on a Parameter and Extended and Localized States in

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

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 To be announced

3 - 4 REFRESHMENT BREAK, Fuld Hall Common Room

4 - 5 Denis Kosygin, Princeton University
"Hyperbolic Standard Maps"

Friday, April 7

11 am - 12 Rene Carmona, Princeton University
"Random Velocity Fields and the Lyapunov Exponent
of their Jacobian Flows"

12 - 2

2 - 3 Abel Klein, University of California, Irvine
"Bootstrap Multiscale Analysis and Strong Dynamical Localization."

3 - 4

4 - 5 Stephanos Venakides, Duke University
"Transmission Properties of Linear and Nonlinear Photonic Crystals."
 

WORKSHOP CONCLUDES

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