Reflected diffusions are stochastic processes that behave like diffusions
in the interior of a domain and are constrained, according to a specified
vector field on the boundary, to lie within the domain. Reflected
diffusions in piecewise-smooth domains arise naturally as approximations
to stochastic networks. We will discuss several questions related to
these processes. In particular, we will describe how the geometry of
the constraining vector field plays a key role in the analysis.
