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

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In 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}.
Notes from the lectures delivered at AGAQ conference (Istanbul, June 2006)

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Mathematical Physics, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/228087

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.0755
 http://arxiv.org/abs/0708.0755

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arXiv