Diffusing-wave spectroscopy and interferometry, the extensions of dyna
mic light scattering to materials which exhibit a very high degree of
multiple scattering, have been used to measure the early-time, short l
ength scale motion of Brownian particles. The transition from ''ballis
tic'' to ''diffusive'' motion is observed. In very dilute samples, thi
s transition is described very well by theories which explicitly accou
nt for the time-dependent hydrodynamic interaction between a Brownian
particle and the surrounding fluid. For particle volume fractions exce
eding a few per cent, the data deviate from the theory for dilute susp
ensions, but exhibit a remarkable scaling with the suspension viscosit
y.