Notes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos

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dc.creatorGurevich, Shamgar
dc.creatorHadani, Ronny
dc.date2007-08-06
dc.date2009-04-24
dc.date.accessioned2026-07-07T13:07:25Z
dc.date.available2026-07-07T13:07:25Z
dc.descriptionIn these notes we discuss the "self-reducibility property" of the Weil representation. We explain how to use this property to obtain sharp estimates of certain higher-dimensional exponential sums which originate from the theory of quantum chaos. As a result, we obtain the Hecke quantum unique ergodicity theorem for generic linear symplectomorphism $A$ of the torus $T^{2N}=R^{2N}/Z^{2N}.
dc.descriptionNotes from the lectures delivered at AGAQ conference (Istanbul, June 2006)
dc.identifierhttps://arxiv.org/abs/0708.0755
dc.identifierhttp://arxiv.org/abs/0708.0755
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228087
dc.subjectMathematical Physics
dc.subjectRepresentation Theory
dc.titleNotes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos
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