## Electronic Journal of Probability

### Confinement of Brownian polymers under geometric area tilts

#### Abstract

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.

#### Article information

Source
Electron. J. Probab., Volume 24 (2019), paper no. 37, 21 pp.

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

Permanent link to this document
https://projecteuclid.org/euclid.ejp/1554775416

Digital Object Identifier
doi:10.1214/19-EJP283

#### Citation

Caputo, Pietro; Ioffe, Dmitry; Wachtel, Vitali. Confinement of Brownian polymers under geometric area tilts. Electron. J. Probab. 24 (2019), paper no. 37, 21 pp. doi:10.1214/19-EJP283. https://projecteuclid.org/euclid.ejp/1554775416

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