Matrix elements for the quantum cat map: fluctuations in short windows

DOI10.1088/0951-7715/20/10/001zbMath1187.81131arXivmath/0701685OpenAlexW2141995002MaRDI QIDQ5421407

Lior Rosenzweig, Pär Kurlberg, Ze'ev Rudnick

Publication date: 22 October 2007

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0701685

Mathematics Subject Classification ID

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

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