6 papers
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…
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…
Sharp upper tail behavior of line ensembles via the tangent method
Shirshendu Ganguly, Milind Hegde
We develop a new probabilistic and geometric method to obtain several sharp results pertaining to the upper tail behavior of continuum Gibbs measures on infinite ensembles of rando…
Scaling limit and tail bounds for a random walk model of SOS level lines
Milind Hegde, Yujin H. Kim, Christian Serio
This paper analyzes a random walk model for the level lines appearing in the entropic repulsion phenomena of three-dimensional discrete random interfaces above a hard wall; we are…
KPZ fixed point convergence of the ASEP and stochastic six-vertex models
Amol Aggarwal, Ivan Corwin, Milind Hegde
We consider the stochastic six-vertex (S6V) model and asymmetric simple exclusion process (ASEP) under general initial conditions which are bounded below lines of arbitrary slope a…
Large deviation principle for the stationary measures of open asymmetric simple exclusion processes
Milind Hegde, Zongrui Yang
We consider the stationary measure of the asymmetric simple exclusion process (ASEP) on a finite interval in with open boundaries. Fixing all the jump rates and lettin…