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arxiv: 1809.03209 · v1 · pith:3F2OLB4Xnew · submitted 2018-09-10 · 🧮 math.PR · math-ph· math.MP

Confinement of Brownian Polymers under Geometric Area Tilts

classification 🧮 math.PR math-phmath.MP
keywords aboveareabrownianhardwallbridgesconfinementconsider
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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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