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Quantum Unique Ergodicity for Maps on the Torus
Authors:Lior Rosenzweig
Affiliation:(1) School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv, 69978, Israel
Abstract:When a map is classically uniquely ergodic, it is expected that its quantization will posses quantum unique ergodicity. In this paper we give examples of Quantum Unique Ergodicity for the perturbed Kronecker map, and an upper bound for the rate of convergence. submitted 3/02/05, accepted 20/10/05
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