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Confinement of Brownian Polymers under Geometric Area Tilts

2018/09/10 by Caputo, Pietro, Ioffe, Dmitry, Wachtel, Vitali
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR)

paper · doi:10.48550/arxiv.1809.03209

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.

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