Some regularity results on infinite dimensional diffusions via dirichlet forms
Byron Schmuland · Stochastic Analysis and Applications · 1988
We apply the methods of probabilistic potential theory and Dirichlet forms to the study of a class of infinite dimensional diffusions with independent coordinates. This class includes the Ornstein-Uhlenbeck process considered by a number of authors. Using the properties of their Dirichlet forms, we obtain criteria for the 12 sample path continuity of the processes under consideration, in terms of their invariant measures and diffusion coefficients. As well, we consider the behaviour along sample paths of the sequence of coordinates