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Fractal Weyl law for open quantum chaotic maps by Nonnenmacher, Stéphane; Sjoestrand, Johannes; Zworski, Maciej is a scholarly article available to read on EtoBox.

What is Fractal Weyl law for open quantum chaotic maps about?

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.

Author

Nonnenmacher, Stéphane; Sjoestrand, Johannes; Zworski, Maciej

Published

2011

Language

EN