  We consider the adiabatic charge transport through zero-dimensional
mesoscopic sample (quantum dot) caused by two periodically changing external
perturbations. Both the magnitude and the sign of the transmitted charge are
extremely sensitive to the configuration of the dot and to the magnetic field.
We find the correlation function characterizing the random value of this pumped
charge for arbitrary strength of the perturbation. In contrast to previous
theoretical and experimental claims, the charge is found not to have any
symmetry with respect to the inversion of magnetic field. At strong pumping
perturbation, the variance of the charge $<Q^2>$ is found to be proportional to
the length of the contour in parametric space.
