Fractal Weyl law for open quantum chaotic maps
Autor: | Nonnenmacher, Stéphane, Sjoestrand, Johannes, Zworski, Maciej |
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Rok vydání: | 2011 |
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Druh dokumentu: | Working Paper |
Popis: | We study the semiclassical quantization of Poincar\'e maps arising in scattering problems with fractal hyperbolic trapped sets. The main application is the proof of a fractal Weyl upper bound for the number of resonances/scattering poles in small domains near the real axis. This result encompasses the case of several convex (hard) obstacles satisfying a no-eclipse condition. Comment: 69 pages, 7 figures |
Databáze: | arXiv |
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