2 papers
math.PR2025
Construction of the 1d Self-repelling Brownian Polymer
Harry Giles, Lukas Gräfner
We consider the self-repelling Brownian polymer, introduced in [APP83], which is formally defined as the solution of a singular SDE. The singularity comes from the drift term, whic…
math.PR2024
An invariance principle for the 2d weakly self-repelling Brownian polymer
Giuseppe Cannizzaro, Harry Giles
We investigate the large-scale behaviour of the Self-Repelling Brownian Polymer (SRBP) in the critical dimension . The SRBP is a model of self-repelling motion, which is forma…