  We consider a version of the classical P\'olya urn scheme which incorporates
innovations. The space $S$ of colors is an arbitrary measurable set. After each
sampling of a ball in the urn, one returns $C$ balls of the same color and
additional balls of different colors given by some finite point process $\xi$
on $S$. When the number of steps goes to infinity, the empirical distribution
of the colors in the urn converges to the normalized intensity measure of
$\xi$, and we analyze the fluctuations. The ratio $\rho= E(C)/E(R)$ of the
average number of copies to the average total number of balls returned plays a
key role.
