  According to a theorem of S. Schumacher, for a diffusion X in an environment
determined by a stable process that belongs to an appropriate class and has
index a, it holds that X_t/(log t)^a converges in distribution, as t goes to
infinity, to a random variable having an explicit description in terms of the
environment. We compute the density of this random variable in the case the
stable process is spectrally one-sided. This computation extends a result of H.
Kesten and quantifies the bias that the asymmetry of the environment causes to
the behavior of the diffusion.
