1 citations · 2 across the 2 of their papers we have counts for
5 papers
The directed landscape from Brownian motion
Duncan Dauvergne, Bálint Virág
We construct an almost sure bijection that recovers the directed landscape on the half-plane from a sequence of independent Brownian motions. This map is the natural scaling limit…
Hidden invariance of last passage percolation and directed polymers
Duncan Dauvergne
Last passage percolation and directed polymer models on are invariant under translation and certain reflections. When these models have an integrable structure coming…
Three-halves variation of geodesics in the directed landscape
Duncan Dauvergne, Sourav Sarkar, Bálint Virág
We show that geodesics in the directed landscape have -variation and that weight functions along the geodesics have cubic variation. We show that the geodesic and its landscap…
Wiener densities for the Airy line ensemble
Duncan Dauvergne
The parabolic Airy line ensemble is a central limit object in the KPZ universality class and related areas. On any compact set …
Upper tail large deviations of the directed landscape
Sayan Das, Duncan Dauvergne, Bálint Virág
Starting from one-point tail bounds, we establish an upper tail large deviation principle for the directed landscape at the metric level. Metrics of finite rate are in one-to-one c…