  We consider the admittance of a chaotic quantum dot, capacitively coupled to
a gate and connected to two electron reservoirs by multichannel ballistic point
contacts. For a dot in the regime of weak-localization and universal
conductance fluctuations, we calculate the average and variance of the
admittance using random-matrix theory. We find that the admittance is governed
by two time-scales: the classical admittance depends on the RC-time of the
quantum dot, but the relevant time scale for the weak-localization correction
and the admittance fluctuations is the dwell time. An extension of the circular
ensemble is used for a statistical description of the energy dependence of the
scattering matrix.
