  The semiclassical structure of resonance states of classically chaotic
scattering systems with partial escape is investigated. We introduce a local
randomization on phase space for the baker map with escape, which separates the
smallest multifractal scale from the scale of the Planck cell. This allows for
deriving a semiclassical description of resonance states based on a local
random vector model and conditional invariance. We numerically demonstrate that
the resulting classical measures perfectly describe resonance states of all
decay rates $\gamma$ for the randomized baker map. By decreasing the scale of
randomization these results are compared to the deterministic baker map with
partial escape. This gives the best available description of its resonance
states. Quantitative differences indicate that a semiclassical description for
deterministic chaotic systems must take into account that the multifractal
structures persist down to the Planck scale.
