  We present a stochastic model for amplifying, diffusive media like, for
instance, random lasers. Starting from a simple random-walk model, we derive a
stochastic partial differential equation for the energy field with contains a
multiplicative random-advection term yielding intermittency and power-law
distributions of the field itself. Dimensional analysis indicate that such
features are more likely to be observed for small enough samples and in lower
spatial dimensions.
