Mean square displacement of Brownian paths perturbed by bounded pair potentials
arXiv:2312.02709
Abstract
We study Brownian paths perturbed by semibounded pair potentials and prove upper bounds on the mean square displacement. As a technical tool we derive infinite dimensional versions of key inequalities that were first used in [Sellke; arXiv:2212.14023] in order to study the effective mass of the Fröhlich polaron.
17 pages