The Edwards Model for Fractional Brownian Loops and Starbursts

We extend Varadhan’s construction of the Edwards model forpolymers to fractional Brownian loops and fractional Brownian starbursts.We show that, as in the fBm case, the Edwards density under a renormalizaionis an integrable function for the case Hd ≤ 1

Tagged particle process in continuum with singular interactions

By using Dirichlet form techniques we construct the dynamics of a tagged particle in an infinite particle environment of interacting particles for a large class of interaction potentials. In particular, we can treat interaction potentials having a singularity at the origin, non-trivial negative part and infinite range, as e.g., the Lennard-Jones potential.Comment: 27 pages, proof for conservativity added, tightened presentatio