1 citations · 2 across the 4 of their papers we have counts for
4 papers
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…
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…
The geometry of coalescing random walks, the Brownian web distance and KPZ universality
Bálint Vető, Bálint Virág
Coalescing simple random walks in the plane form an infinite tree. A natural directed distance on this tree is given by the number of jumps between branches when one is only allowe…
Eigenvectors of the square grid plus GUE
András Mészáros, Bálint Virág
Eigenvectors of the GUE-perturbed discrete torus with uniform boundary conditions retain some product structure for small perturbations but converge to discrete Gaussian waves for…