Hierarchical Fractal Weyl Laws for Chaotic Resonance States in Open Mixed Systems
Hierarchical Fractal Weyl Laws for Chaotic Resonance States in Open Mixed Systems
In open chaotic systems the number of long-lived resonance states obeys a fractal Weyl law, which depends on the fractal dimension of the chaotic saddle. We study the generic case of a mixed phase space with regular and chaotic dynamics. We find a hierarchy of fractal Weyl laws, one for …