Approximation models for the continuous additive functionals of multidimensional brownian motion

AbstractA general approximation model for the continuous additive functionals of the multidimensional Brownian motion is defined by summing a family of “local” processes over the representing measure of the considered CAF. Natural analogous to the classical approximation theorems for the local time of the one-dimensional Brownian motion (occupation time, downcrossings, flat stretches and so on) are obtained. The considered approximation is in L2