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 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.