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تسجيل مستخدم جديدNotes on the Self-Reducibility of the Weil Representation and Higher-Dimensional Quantum Chaos
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Shamgar Gurevich
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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}.
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