Open Access
2019 Confinement of Brownian polymers under geometric area tilts
Pietro Caputo, Dmitry Ioffe, Vitali Wachtel
Electron. J. Probab. 24: 1-21 (2019). DOI: 10.1214/19-EJP283


We consider confinement properties of 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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Pietro Caputo. Dmitry Ioffe. Vitali Wachtel. "Confinement of Brownian polymers under geometric area tilts." Electron. J. Probab. 24 1 - 21, 2019.


Received: 2 October 2018; Accepted: 26 February 2019; Published: 2019
First available in Project Euclid: 9 April 2019

zbMATH: 07055675
MathSciNet: MR3940767
Digital Object Identifier: 10.1214/19-EJP283

Primary: 60F17 , 60K35 , 82B20 , 82B41

Keywords: Brownian polymers , Dyson-Ferrari-Spohn diffusion , geometric area tilts , limiting line ensembles , non-intersecting Brownian bridges

Vol.24 • 2019
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