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Workshop

Mathematical Semi-Classical Analysis May 05, 2003 - May 09, 2003
Registration Deadline: May 09, 2003 over 16 years ago
To apply for Funding you must register by: February 05, 2003 almost 17 years ago
Parent Program:
Organizers J. Sjostrand, S. Zelditch, and M. Zworski
Speaker(s)

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Description
This meeting will concentrate on presenting recent advances in mathematical semi-classics, with a special emphasis on phase-space tunneling, resonances, inverse problems, and general aspects of asymptotic analysis in quantum problems. We hope to relate these advances to the developments in physics, chemistry, and computing.
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).

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MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).

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Schedule, Notes/Handouts & Videos
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May 05, 2003
Monday
08:00 AM - 05:00 PM
  Perturbations of self-adjoint operators with periodic flow-branching levels
Johannes Sjostrand (École Polytechnique)
08:45 AM - 09:00 AM
  Welcome and Introduction
Loa Nowina-Sapinski
09:00 AM - 10:00 AM
  Control of Schrodinger equations and high energy eigenfunctions scarring (joint work with M. Zworski)
Nicolas Burq (Université de Paris XI)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Semi-classical measures of quantum cat maps
Stephane Nonnenmacher (Université de Paris XI)
11:30 AM - 12:30 PM
  Pseudospectra of Berezin-Toeplitz operators
Alejandro Uribe (University of Michigan)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Spectral asymptotics for perturbations of self-adjoint operators in dimension 2
Johannes Sjostrand (École Polytechnique)
03:00 PM - 03:30 PM
  Afternoon Tea
04:10 PM - 05:10 PM
  Asymptotic geometry of random algebraic varieties
Steven Zelditch (Northwestern University)
May 06, 2003
Tuesday
09:00 AM - 10:00 AM
  Normal forms for the mode conversion problem
Yves Colin de Verdière
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  The Schroedinger propagator for scattering metrics
Andrew Hassell
11:30 AM - 12:30 PM
  Measure rigidity and eigenfunctions of the Laplacian
Elon Lindenstrauss (The Hebrew University of Jerusalem)
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Dynamical zeta functions and spectrum of transfer operators: From Milnor-Thurston to Ruelle, and back
Viviane Baladi
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Quasi periodic solutions for non-linear random Schrodinger equations
Wei-Min Wang
04:30 PM - 05:30 PM
  Reception
May 07, 2003
Wednesday
09:00 AM - 10:00 AM
  Double scaling limit in random matrix models and semiclassical asymptotics of orthogonal polynomials at critical points
Pavel Bleher (Indiana University--Purdue University)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  L^{p} norms of eigenfunctions in the completely integrable case
John Toth
11:30 AM - 12:30 PM
  Quantum resonances for non analytic potentials
Andre Martinez
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Pseudo-spectra of semi-classical differential operators
Nils Dencker
03:00 PM - 03:30 PM
  Afternoon Tea
03:30 PM - 04:30 PM
  Pseudospectra and applications
E. Brian Davies
May 08, 2003
Thursday
09:00 AM - 10:00 AM
  Long-time behavior of solutions of the Nonlinear Schroedinger (NLS) Equation with rough initial data
Percy Deift (New York University, Courant Institute)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Upper bounds on the number of scattering poles
Plamen Stefanov
11:30 AM - 12:30 PM
  Density of states for periodic Schrodinger operators
Alexander Sobolev
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  On the proof of exponential estimate in the adiabatic limit (Joint work with V. Sordoni)
Shu Nakamura
03:00 PM - 03:30 PM
  Afternoon Tea
04:10 PM - 05:00 PM
  Colloquim- Invariant theory and quantum computation (60 Evans)
Hendrik Lenstra (Universiteit Leiden)
May 09, 2003
Friday
09:00 AM - 10:00 AM
  Lagrangian tori in non-selfadjoint spectral theory
Michael Hitrik (University of California, Los Angeles)
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Scattering theory on symmetric spaces and for N-body Hamiltonians
Andras Vasy (Stanford University)
11:30 AM - 12:30 PM
  Uniform high frequency resolvent estimates for the Laplace-Beltrami operator on non-compact Riemannian manifolds and applications
Georgui Vodev
12:30 PM - 02:00 PM
  Lunch
02:00 PM - 03:00 PM
  Estimating the Ehrenfest time through the quantum normal form
Sandro Graffi