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 discrete Solid-On-Solid random interfaces above a hard wall.
Caputo, P., Ioffe, D., Wachtel, V. (2019). Tightness and Line Ensembles for Brownian Polymers Under Geometric Area Tilts. In Springer Proceedings in Mathematics and Statistics (pp.241-266). Springer [10.1007/978-3-030-29077-1_10].
Tightness and Line Ensembles for Brownian Polymers Under Geometric Area Tilts
Caputo P.;
2019-01-01
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 discrete Solid-On-Solid random interfaces above a hard wall.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
