Confinement of Brownian Polymers under Geometric Area Tilts

Abstract

We consider tightness for families of non-colliding Brownian bridges above a hard wall, which are subject to geometrically growing self-potentials of tilted area type. The model is introduced in order to mimic level lines of $2+1$ discrete Solid-On-Solid random interfaces above a hard wall.Comment: 22 pages, 3 figure