2 papers
math.PR2024
Characterization of the directed landscape from the KPZ fixed point
Duncan Dauvergne, Lingfu Zhang
We show that the directed landscape is the unique coupling of the KPZ fixed point from all initial conditions satisfying three natural properties: independent increments, monotonic…
math.PR2024
Airy line ensemble and its Laplace transform
Vadim Gorin, Jiaming Xu, Lingfu Zhang
The Airy line ensemble is a random collection of continuous curves, which should serve as a universal edge scaling limit in problems related to eigenvalues of random matrices a…