Let L(x, T), x∈Rd, T∈R+N, be the local time of the N-parameter Wiener process W taking values in Rd. Even in the distribution valued cased d≧2 N, L can be described in a series representation by means of multiple Wiener-Ito integrals. This setting proves to be a good starting point for the investigation of the asymptotic behaviour of L(x, T) as |x|→0 and/or T∞ and of related occupation integrals
... [Show full abstract] {Mathematical expression} as T→∞. We obtain the rates of explosion in laws of the first order, i.e. normalized convergence laws for L(x, T) resp. XT(f), and of the second order, i.e. normalized convergence laws for L(x, T)-E(L(x, T)) resp. XT(f)-E(XT(f)).