  We investigate shot noise for quantum dots whose classical phase space
consists of both regular and chaotic regions. The noise is systematically
suppressed below the universal value of fully chaotic systems, by an amount
which varies with the positions of the leads. We analyze the dynamical origin
of this effect by a novel way to incorporate diffractive impurity scattering.
The dependence of the shot noise on the scattering rate shows that the
suppression arises due to the deterministic nature of transport through regular
regions and along short chaotic trajectories. Shot noise can be used to probe
phase-space structures of quantum dots with generic classical dynamics.
