  We study transport through a two-dimensional billiard attached to two
infinite leads by numerically calculating the Landauer conductance and the
Wigner time delay. In the generic case of a mixed phase space we find a power
law distribution of resonance widths and a power law dependence of conductance
increments apparently reflecting the classical dwell time exponent, in striking
difference to the case of a fully chaotic phase space. Surprisingly, these
power laws appear on energy scales {\em below} the mean level spacing, in
contrast to semiclassical expectations.
