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Workshop

Mathematical Semi-Classical Analysis May 05, 2003 - May 09, 2003
Registration Deadline: May 09, 2003 over 11 years ago
To apply for Funding you must register by: February 05, 2003 over 11 years ago
Parent Program: Semi-Classical Analysis
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.


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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 Rose Garden Inn, depending on room availability. Reservations may be made by calling 1-800-992-9005 OR directly on their website. Click on Corporate at the bottom of the screen and when prompted enter code MATH (this code is not case sensitive). By using this code a new calendar will appear and will show the MSRI rate on all room types available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code 123MSRI. Our preferred rate is $139 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

MSRI has preferred rates of $110 - $140 at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select “I am an individual traveler affiliated with MSRI”.

Additional lodging options may be found on our short term housing page.

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Schedule
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May 05, 2003
Monday
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 Paris-Sud (Orsay))
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Semi-classical measures of quantum cat maps
Stephane Nonnenmacher
11:30 AM - 12:30 PM
  Pseudospectra of Berezin-Toeplitz operators
Alejandro Uribe
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 (Hebrew University)
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
10:00 AM - 10:30 AM
  Morning Tea
10:30 AM - 11:30 AM
  Scattering theory on symmetric spaces and for N-body Hamiltonians
András Vasy
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