WINTER
SCHOOL ON QUANTUM CHAOS
A conference
organized January 26 to January 30, 2009
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R.
Dubertrand (LPTMS) : modes of a laser in a chaotic stadium
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Abstract
The topics of
this
winter school will be quantum toral automorphisms, quantum chaos on
compact hyperbolic surfaces and quantum chaos on quantum graphs.
A particular attention will be given to interactions with arithmetic.
It will mainly consist in four short courses, that will be primarily
targetted at senior graduate students and post
graduate students; experiences researchers are of course also
welcome ! Participants will be financed (trip and accomodation) thanks
to the ANR
"Aspects arithmétiques des matrices aléatoires et du
chaos quantique".
Contact the organizers
and register
Programme
- Introduction to quantum chaos (Arnd
Baecker, ITU, Dresden)(slides.pdf)
- Quantum
toral automorphisms (Pär
Kurlberg, KTH, Stockholm)
- Quantum chaos on arithmetic
hyperbolic surfaces :
- The
approach of Holowinsky and Soundararajan to the Quantum Unique
Ergodicity conjecture (Emmanuel
Kowalski, ETH, Zurich)(based on arXiv 0809.1669, 0809.1640, 0809.1636 and 0809.1635)
- Lindenstrauss' result (Manfred
Einsiedler, Ohio State University)
- Quantum
chaos on quantum graphs (Jon Keating,
University of Bristol)
Introductory
talks
Three introductory talks are planned
on the week before for Bordeaux students :
- Background on
ergodic theory (Philippe Thieullen)
- Maass cusp forms and quantum unique ergodicity conjecture
(Guillaume Ricotta) (scanned notes : part1,
part2, part3, part4)
- Quantum graphs (Marie-Line Chabanol)(slides.pdf)
Organizers
Guillaume
Ricotta (Bordeaux)
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Marie-Line
Chabanol (Bordeaux)
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Stéphane
Nonnenmacher (Saclay)
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Avec
le
soutien de l'ANR
/ Supported by the ANR