Fractal Weyl law for open quantum chaotic maps

Autor: Nonnenmacher, Stéphane, Sjoestrand, Johannes, Zworski, Maciej
Rok vydání: 2011
Předmět:
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