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Matrix elements for the quantum cat map: fluctuations in short windows. (English) Zbl 1187.81131


MSC:

81Q50 Quantum chaos
11L40 Estimates on character sums
11M36 Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas)
37D20 Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.)
37N20 Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics)
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