Hecke theory and equidistribution for the quantization of linear maps of the torus

DOI10.1215/S0012-7094-00-10314-6zbMath1013.81017arXivchao-dyn/9901031OpenAlexW2041347213MaRDI QIDQ1568659

Pär Kurlberg, Ze'ev Rudnick

Publication date: 23 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/chao-dyn/9901031

zbMATH Keywords

Hecke operatorsquantum chaoscat mapquantum unique ergodicityquantization of linear hyperbolic automorphisms

Mathematics Subject Classification ID

Quantum chaos (81Q50) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Hecke-Petersson operators, differential operators (one variable) (11F25) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

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