  This survey paper is a structured concise summary of four of our recent
papers on the stochastic regularity of diffusions that are associated to
regular strongly local (but not necessarily symmetric) Dirichlet forms. Here by
stochastic regularity we mean the question whether a diffusion associated to a
Dirichlet form as mentioned above can be started and identified as a solution
to an explicit stochastic differential equation for explicitly given starting
points. Beyond the stochastic regularity, we consider its applications to
strong existence and pathwise uniqueness of singular stochastic differential
equations.
