We study the signatures of a classical mixed phase space for open quantum s
ystems. We find the scaling of the break time up to which quantum mechanics
mimics the classical staying probability and derive the distribution of re
sonance widths. Based on these results we explain why for mixed systems two
type of conductance fluctuations were found: quantum mechanics divides the
hierarchically structured chaotic component of phase space into two parts
-one yields fractal conductance fluctuations while the other causes isolate
d resonances. In general, both type appear together, but on different energ
y scales.