  We discuss the inflaton $\phi$ in an environment of scalar fields $\chi_{n}$
on flat and curved manifolds. We average over the environmental fields
$\chi_{n}$. We study a contribution of superhorizon $k<<aH$ as well as
subhorizon $k>> aH$ modes $\chi_{n}({\bf k})$. As a result we obtain a
stochastic wave equation with a friction and noise. We show that in the
subhorizon regime in field theory a finite number of fields is sufficient to
produce a friction and diffusion owing to the infinite number of degrees of
freedom corresponding to different ${\bf k}$ in $\chi_{n}({\bf k})$. We
investigate the slow roll and the Markovian approximaions to the stochastic
wave equation. A determination of the metric from the stochastic
Einstein-Klein-Gordon equations is briefly discussed,
