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Mathematical Semi-Classical Analysis
May 5, 2003 to May 9, 2003

Organizer(s)

J. Sjostrand, S. Zelditch, and M. Zworski
To apply for funding, you must register by Mon, Feb 17 2003.

Registration Deadline

Fri, May 09 2003

Contact

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.

Funding

To apply for funding, you must register by Mon, Feb 17 2003. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

Important

Schedule
Monday, May 05, 2003
8:45AM - 9:00AM MSRI Hall Loa Nowina-Sapinski Welcome and Introduction [Video available]
9:00AM - 10:00AM MSRI Hall Nicolas Burq Control of Schrodinger equations and high energy eigenfunctions scarring (joint work with M. Zworski) [Video available]
10:00AM - 10:30AM MSRI Hall Marsha Borg Morning Tea
10:30AM - 11:30AM MSRI Hall Stephane Nonnenmacher Semi-classical measures of quantum cat maps [Video available]
11:30AM - 12:30PM MSRI Hall Alejandro Uribe Pseudospectra of Berezin-Toeplitz operators [Video available]
12:30PM - 2:00PM MSRI Hall Marsha Borg Lunch
2:00PM - 3:00PM MSRI Hall Johannes Sjostrand Spectral asymptotics for perturbations of self-adjoint operators in dimension 2 [Video available]
3:00PM - 3:30PM MSRI Hall Marsha Borg Afternoon Tea
4:10PM - 5:10PM Evans Hall Steven Zelditch Asymptotic geometry of random algebraic varieties
Tuesday, May 06, 2003
9:00AM - 10:00AM MSRI Hall Yves Colin de Verdière Normal forms for the mode conversion problem [Video available]
10:00AM - 10:30AM MSRI Hall Marsha Borg Morning Tea
10:30AM - 11:30AM MSRI Hall Andrew Hassell The Schroedinger propagator for scattering metrics [Video available]
11:30AM - 12:30PM MSRI Hall Elon Lindenstrauss Measure rigidity and eigenfunctions of the Laplacian [Video available]
12:30PM - 2:00PM MSRI Hall Marsha Borg Lunch
2:00PM - 3:00PM MSRI Hall Viviane Baladi Dynamical zeta functions and spectrum of transfer operators: From Milnor-Thurston to Ruelle, and back [Video available]
3:00PM - 3:30PM MSRI Hall Marsha Borg Afternoon Tea
3:30PM - 4:30PM MSRI Hall Wei-Min Wang Quasi periodic solutions for non-linear random Schrodinger equations [Video available]
4:30PM - 5:30PM MSRI Hall Marsha Borg Reception
Wednesday, May 07, 2003
9:00AM - 10:00AM MSRI Hall Pavel Bleher Double scaling limit in random matrix models and semiclassical asymptotics of orthogonal polynomials at critical points [Video available]
10:00AM - 10:30AM MSRI Hall Marsha Borg Morning Tea
10:30AM - 11:30AM MSRI Hall John Toth L^{p} norms of eigenfunctions in the completely integrable case [Video available]
11:30AM - 12:30PM MSRI Hall Andre Martinez Quantum resonances for non analytic potentials [Video available]
12:30PM - 2:00PM MSRI Hall Marsha Borg Lunch
2:00PM - 3:00PM MSRI Hall Nils Dencker Pseudo-spectra of semi-classical differential operators [Video available]
3:00PM - 3:30PM MSRI Hall Marsha Borg Afternoon Tea
3:30PM - 4:30PM MSRI Hall E. Brian Davies Pseudospectra and applications [Video available]
Thursday, May 08, 2003
9:00AM - 10:00AM MSRI Hall Percy Deift Long-time behavior of solutions of the Nonlinear Schroedinger (NLS) Equation with rough initial data [Video available]
10:00AM - 10:30AM MSRI Hall Marsha Borg Morning Tea
10:30AM - 11:30AM MSRI Hall Plamen Stefanov Upper bounds on the number of scattering poles [Video available]
11:30AM - 12:30PM MSRI Hall Alexander Sobolev Density of states for periodic Schrodinger operators [Video available]
12:30PM - 2:00PM MSRI Hall Marsha Borg Lunch
2:00PM - 3:00PM MSRI Hall Shu Nakamura On the proof of exponential estimate in the adiabatic limit (Joint work with V. Sordoni) [Video available]
3:00PM - 3:30PM MSRI Hall Marsha Borg Afternoon Tea
4:10PM - 5:00PM MSRI Hall Hendrik Lenstra Colloquim- Invariant theory and quantum computation (60 Evans)
Friday, May 09, 2003
9:00AM - 10:00AM MSRI Hall Michael Hitrik Lagrangian tori in non-selfadjoint spectral theory [Video available]
10:00AM - 10:30AM MSRI Hall Marsha Borg Morning Tea
10:30AM - 11:30AM MSRI Hall András Vasy Scattering theory on symmetric spaces and for N-body Hamiltonians [Video available]
11:30AM - 12:30PM MSRI Hall Georgui Vodev Uniform high frequency resolvent estimates for the Laplace-Beltrami operator on non-compact Riemannian manifolds and applications [Video available]
12:30PM - 2:00PM MSRI Hall Marsha Borg Lunch
2:00PM - 3:00PM MSRI Hall Sandro Graffi Estimating the Ehrenfest time through the quantum normal form [Video available]
Parent Program(s):
Semi-Classical Analysis


Questions about this workshop should be sent either by email to
218@msri.org

or by regular mail to:
Mathematical Semi-Classical Analysis
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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