  We use Monte Carlo simulations to investigate the dynamical properties of the
infinite range 10 states Potts glass. By analyzing the spin autocorrelation
function for system sizes up to N=2560, we show that strong finite size effects
are present around the predicted dynamical transition temperature. The
autocorrelation function shows strong self-averaging at high temperatures,
whereas close to the dynamical transition they show the lack of self-averaging.
