3 papers
math.PR2026
The directed landscape in half-space
Duncan Dauvergne, Lingfu Zhang
We prove that two half-space models in the KPZ universality class, exponential last-passage percolation and a family of Poisson-avoiding metrics generalizing colored TASEP, converg…
math.PR2026
van den Berg-Kesten--type correlation inequalities for disjoint polymers in the KPZ universality class
Shirshendu Ganguly, Milind Hegde, Lingfu Zhang
In classical percolation theory, the van den Berg-Kesten (BK) inequality is a fundamental tool that shows that disjoint events induce negative conditionings on each other. The ineq…
math.PR2025
Brownian bridge limit of path measures in the upper tail of KPZ models
Shirshendu Ganguly, Milind Hegde, Lingfu Zhang
For models in the KPZ universality class, such as the zero temperature model of planar last passage-percolation (LPP) and the positive temperature model of directed polymers, its u…