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arXiv · 1906.06533

Tightness and Line Ensembles for Brownian Polymers under Geometric Area Tilts

Pietro Caputo·Dmitry Ioffe·Vitali Wachtel
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Abstract

We prove tightness and limiting Brownian-Gibbs description for line ensembles of non-colliding Brownian bridges above a hard wall, which are subject to geometrically growing self-potentials of tilted area type. Statistical properties of the resulting ensemble are very different from that of non-colliding Brownian bridges without self-potentials. The model itself was introduced in order to mimic level lines of (2+1)-dimensional discrete Solid-On-Solid random interfaces above a hard wall.

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Pietro Caputo, Dmitry Ioffe, Vitali Wachtel. 2019-06-15. Tightness and Line Ensembles for Brownian Polymers under Geometric Area Tilts. https://arxiv.org/abs/1906.06533

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