2019/06/15 by Pietro Caputo, Caputo, Pietro, Dmitry Ioffe +3
Mathematics · Physics and Astronomy · #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Probability (math.PR) #Random Matrices and Applications #Stochastic processes and statistical mechanics #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1906.06533
openalex publication_date 2019/06/15 · openalex created_date 2022/07/22 · openalex updated_date 2026/07/28
We prove tightness and limiting Brownian-Gibbs description for line ensembles\nof non-colliding Brownian bridges above a hard wall, which are subject to\ngeometrically growing self-potentials of tilted area type. Statistical\nproperties of the resulting ensemble are very different from that of\nnon-colliding Brownian bridges without self-potentials. The model itself was\nintroduced in order to mimic level lines of (2+1)-dimensional discrete\nSolid-On-Solid\n random interfaces above a hard wall.\n