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...