  Resonance states of the 3-disk scattering system are presented for the first
Casati wave number $k \approx 912$ and the second Casati wave number $k \approx
91242$. They show multifractal structure in phase space, similar to the
pioneering work by Casati et al. [Physica D 131, 311 (1999)] for an open
chaotic quantum map. In position space we observe scarring along segments of
rays, related to multifractality and universal fluctuations, as recently found
for dielectric cavities. To the best of our knowledge this resonance state at
the second Casati wave number has a much larger wave number than published
resonance states for the 3-disk scattering system or any other open or closed
chaotic billiard.
