DSTAQC

"Dynamics, Spectral Theory, and Arithmetic in Quantum Chaos"

Coordinatore	BAR ILAN UNIVERSITY    more  Organization address address: BAR ILAN UNIVERSITY CAMPUS city: RAMAT GAN postcode: 52900 contact info Titolo: Ms. Nome: Estelle Cognome: Waise Email: send email Telefono: +972 3 5317439 Fax: +972 3 6353277
Nazionalità Coordinatore	Israel [IL]
Totale costo	100˙000 €
EC contributo	100˙000 €
Programma	FP7-PEOPLE Specific programme "People" implementing the Seventh Framework Programme of the European Community for research, technological development and demonstration activities (2007 to 2013)
Code Call	FP7-PEOPLE-2012-CIG
Funding Scheme	MC-CIG
Anno di inizio	2013
Periodo (anno-mese-giorno)	2013-04-01   -   2017-03-31

 Partecipanti

#	participant	country	role	EC contrib. [€]
1	BAR ILAN UNIVERSITY  Organization address address: BAR ILAN UNIVERSITY CAMPUS city: RAMAT GAN postcode: 52900 contact info Titolo: Ms. Nome: Estelle Cognome: Waise Email: send email Telefono: +972 3 5317439 Fax: +972 3 6353277	IL (RAMAT GAN)	coordinator	100˙000.00

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 Obiettivo del progetto (Objective)

'This proposal aims to study the relationship between the spectrum of the Laplacian on a compact hyperbolic surface, and the geometry and dynamics of the geodesic flow on the surface, in the context of the Quantum Unique Ergodicity (QUE) Conjecture--- which asks for the eigenfunctions to become equidistributed in the large eigenvalue limit. It is thought that this question might be related to the problem of bounding multiplicities in the spectrum, and that large degeneracies could hypothetically cause QUE to fail. We investigate this aspect by studying quasimodes, or approximate eigenfunctions, where we have more control over the ``multiplicities' by adjusting the order of approximation to true eigenfunctions. There are two main objectives in this proposal. First, to solidify the connection between multiplicities and non-equidistribution; in particular, by showing that when the order of the quasimodes is weakened to the appropriate level, the QUE property fails. Second, in contrast, to show that there is variation across different dynamical ``models' of quantum chaos, in the relationship between large spectral multiplicities and types of localization phenomena. It is hoped that this program will shed light on the role of spectral multiplicities in the QUE problem in particular, and on the mysterious relationship between spectral data of the Laplacian and the geometry and dynamics of the underlying system in general. Since the questions to be studied and the methods to be used cut across many different active research areas, it is likely that this program will lead to diverse collaborations, and contribute to a wide variety of research topics in the future.'