Fractal Weyl law for open quantum chaotic maps
classification
🧮 math.AP
math.DSnlin.CD
keywords
fractalmapsscatteringweylapplicationarisingaxisbound
read the original abstract
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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.