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Centre de recherches mathématiques Université de Montréal Atelier «Aspects mathématiques du chaos quantique» Du 2 au 6 juin 2008 Workshop Mathematical aspects of quantum chaos June 2-6, 2008 HORAIRE / PROGRAM Conférences : salle 6214 Pauses-café : salle 6245 Lectures: Room 6214 Coffee Breaks: Room 6245

2 Le lundi 2 juin 2008 / Monday, June 2, 2008 09:00-09:30 Inscription (5345) et café-croissants (6245) (6245) / Registration (5345) and Coffee & Croissants (6245) (6245) 09:30-09:50 Mots de bienvenue / Welcoming addresses 09:50-10:40 Jonathan Keating (University of Bristol) Quantum Ergodicity: Graphs and Resonance Eigenfunctions 10:50-11:10 Café et séance d affichage / Coffee and poster session 11:10-12:00 John A. Toth (McGill University) Counting nodal lines which touch the boundary of an analytic domain 12:10-14:00 Pause déjeuner / Lunch break 14:00-14:50 Pär Kurlberg (KTH) Matrix elements for the quantum cat map: fluctuations in short windows 15:20-16:10 Shimon Brooks (Princeton University) Entropy of quantum limits for the 2-torus 16:20-17:10 Boris Gutkin (Universität Duisburg-Essen) Entropic bounds on semiclassical measures for quantized one-dimensional maps 17:20 Réception soulignant le début de l année thématique 2008-2009 du CRM sur les méthodes probabilistes en physique mathématique (6245) / Reception Marking the Opening of the CRM 2008-2009 Thematic Program on Probabilistic Methods in Mathematical Physics. (6245)

3 Le mardi 3 juin 2008 / Tuesday, June 3, 2008 09:00-09:30 Café croissants (6245) / Coffee & Croissants (6245) 09:30-10:20 Sebastian Müller (University of Bristol) Periodic-orbit theory of universal spectral statistics 10:30-10:40 Café et séance d affichage / Coffee and poster session 10:40-11:30 Peter A. Braun (Universität Duisburg-Essen) Transport through chaotic cavities: random matrix theory results reproduced from semiclassics 11:40-12:30 Dan Mangoubi (Max-Planck-Institut für Mathematik) Tubular Neighborhoods of Nodal Sets 12:30-14:00 Déjeuner (6245) / Lunch (6245) 14:00-14:50 Arnd Bäcker (TU Dresden) Dynamical tunneling in systems with a mixed phase space 15:20-16:10 Alex Barnett (Dartmouth College) Numerical study of bouncing-ball mode leakage and migrating scars 16:20-17:10 Hans Christianson (Massachusetts Institute of Technology) Non-concentration near hyperbolic orbits and applications

4 Le mercredi 4 juin 2008 / Wednesday, June 4, 2008 09:00-09:30 Café croissants (6245) / Coffee & Croissants (6245) 09:30-10:20 Lior Silberman (University of British Columbia) Arithmetic quantum chaos 10:30-10:50 Café et séance d affichage / Coffee and poster session 10:50-11:40 Dubi Kelmer (Institute for Advanced Study) Scarring on invariant manifolds for quantum maps on the torus 11:50-12:10 Photo de groupe / Group Photo Session 12:10-14:00 Pause déjeuner / Lunch break 14:00-14:50 Hamid Hezari (Johns Hopkins University) Inverse Spectral Problems for Schrödinger Operators and Real Analytic Drums: Higher Dimensions 15:20-16:10 Igor Wigman (Université de Montréal) Nodal lines for random eigenfunctions of the Laplacian on the torus 16:20-17:10 Alexander Strohmaier (Loughborough University) Spectral asymptotics on compact Kaehler manifolds

5 Le jeudi 5 juin 2008 / Thursday, June 5, 2008 09:00-09:40 Café croissants (6245) / Coffee & Croissants (6245) 09:40-10:30 Dmitry Jakobson (McGill University) Estimates from below for the spectral function and for the remainder in Weyl s law on negatively-curved surfaces 10:40-11:00 Café et séance d affichage / Coffee and poster session 11:00-11:50 Maciej Zworski (University of California at Berkeley) Semiclassical Dynamics of Solitons 12:00-14:00 Pause déjeuner / Lunch break 14:00-14:50 Frédéric Faure (Université Joseph Fourier) A prequantization approach to quantum chaos 15:20-16:10 Mirko Degli Esposti (Università di Bologna) Weak classical and quantum chaos 16:20-17:10 Eugène Bogomolny (Université de Paris-Sud) Trace Formula for Dielectric Cavities

6 Le vendredi 6 juin 2008 / Friday, June 6, 2008 09:00-09:30 Café croissants (6245) / Coffee & Croissants (6245) 09:30-10:20 Iosif Polterovich (Université de Montréal) Dynamical and universal properties of the spectral function 10:30-10:40 Café et séance d affichage / Coffee and poster session 10:40-11:30 Roman Schubert (University of Bristol) Time Evolution Beyond the Ehrenfest Time 11:40-12:30 Gregor Tanner (University of Nottingham) Wave engineering - using interference as a resource 12:30-14:00 Pause déjeuner / Lunch break 14:00-14:50 Jens Bolte (Royal Holloway, University of London) The trace formula for quantum graphs with general self adoint boundary conditions 15:20-16:10 Gregory Berkolaiko (Texas A&M University) A lower bound for nodal count on discrete and metric graphs