Probability Seminar: Limit law for line ensembles of Brownian polymers with geometric area tilts

Seminar | November 16 | 3:10-4 p.m. | 340 Evans Hall

Speaker/Performer:  Amir Dembo, Stanford University

Sponsor:  Department of Statistics

Consider non-crossing Brownian bridges above a hard wall, each tilted by the area of the region below it with geometrically
growing pre-factors. This line ensemble, which mimics the level lines of the (2+1)D solid-on-solid model above a hard wall,
was studied by Caputo, Ioffe and Wachtel. In a joint work with Eyal Lubetzky and Ofer Zeitouni, we prove their conjecture
that when the length of bridges, followed by the number of paths, go to infinity, the law of the top k paths converges
to the same limit under both zero and most, free-like, boundary conditions.

Event Contact:  alanmhammond@yahoo.co.uk, 510-0000000

Access Coordinator:  Alan Hammond,  alanmhammond@yahoo.co.uk,  510-000-0000