Now showing items 1-3 of 3

    • Nguyen, Gia Bao; Remenik Zisis, Daniel (University of Washington, 2017)
      We consider finite collections of N non-intersecting Brownian paths on the line and on the half-line with both absorbing and reflecting boundary conditions (corresponding to Brownian excursions and reflected Brownian ...
    • Carmona, Philippe; Nguyen, Gia Bao; Petrelis, Nicolas (Institute of Mathematical Statistics, 2016)
      In this paper, we investigate a model for a 1 1 dimensional self interacting and partially directed self-avoiding walk, usually referred to by the acronym IPDSAW. The interaction intensity and the free energy of the system ...
    • Nguyen, Gia Bao; Remenik Zisis, Daniel (Institute of Mathematical Statistics, 2017)
      We show that the squared maximal height of the top path amongNnon-intersecting Brownian bridges starting andending at the origin is distributed as the top eigenvalue of a random matrix drawn from the Laguerre Orthogonal ...