Electronic Journal of Probability

Confinement of Brownian polymers under geometric area tilts

Pietro Caputo, Dmitry Ioffe, and Vitali Wachtel

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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

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

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

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Primary: 60F17: Functional limit theorems; invariance principles 60K35: Interacting random processes; statistical mechanics type models; percolation theory [See also 82B43, 82C43] 82B20: Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs 82B41: Random walks, random surfaces, lattice animals, etc. [See also 60G50, 82C41]

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

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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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