Workshop on Localization and Lyapunov Exponents

Clay Mathematics Institute/Institute for Advanced Study

April 3, 2000 - April 7, 2000

Location Seminar Room
Mathematics Building
Institute for Advanced Study
Olden Lane
Princeton, New Jersey
Scientific
Organizers
Jean Bourgain and Thomas Spencer, Institute for Advanced Study
  This workshop is being held in partnership with the Clay Mathematics Institute.
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
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
"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

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.

   

 

Date & Time

April 03, 2000 | 12:00am – April 07, 2000 | 12:00am

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