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• W2066388300 abstract "We prove a strong version of quantum ergodicity for linear hyperbolic maps of the torus (“cat maps”). We show that there is a density one sequence of integers so that as N tends to infinity along this sequence, all eigenfunctions of the quantum propagator at inverse Planck constant N are uniformly distributed. A key step in the argument is to show that for a hyperbolic matrix in the modular group, there is a density one sequence of integers N for which its order (or period) modulo N is somewhat larger than ." @default.
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• W2066388300 date "2001-08-01" @default.
• W2066388300 modified "2023-10-16" @default.
• W2066388300 title "On Quantum Ergodicity for Linear Maps of the Torus" @default.
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• W2066388300 doi "https://doi.org/10.1007/s002200100501" @default.
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