Local time for stable discontinuous superprocesses in one dimension

Super-Brownian Local Time: a Representation and Two Applications

“…as ε n → 0, i.e., the finite-dimensional distributions of {L 0,ε } ε>0 converge to those of L 0 . Following the approach of [12] it is possible to show tightness of {L 0,ε } ε>0 , and, hence, weak convergence of {L 0,ε } ε>0 to L 0 as ε → 0 in the Skorokhod space D [0,T ] (R).…”