Resumen de Fractal Weyl law for open quantum chaotic maps
Stéphane Nonnenmacher 
, Johannes Sjöstrand, Maciej Zworski
We study a semiclassical quantization of Poincaré 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 includes the case of several convex (hard) obstacles satisfying a no-eclipse condition
