3 citations · 13 across the 14 of their papers we have counts for
15 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…
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…
Scaling limit of the colored ASEP and stochastic six-vertex models
Amol Aggarwal, Ivan Corwin, Milind Hegde
We consider the colored asymmetric simple exclusion process (ASEP) and stochastic six vertex (S6V) model with fully packed initial conditions; the states of these models can be enc…
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…
The lower tail of -pushTASEP
Ivan Corwin, Milind Hegde
We study -pushTASEP, a discrete time interacting particle system whose distribution is related to the -Whittaker measure. We prove a uniform in lower tail bound on the fl…
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…
Local and global comparisons of the Airy difference profile to Brownian local time
Shirshendu Ganguly, Milind Hegde
There has recently been much activity within the Kardar-Parisi-Zhang universality class spurred by the construction of the canonical limiting object, the parabolic Airy sheet $\mat…
Exceptional times when the KPZ fixed point violates Johansson's conjecture on maximizer uniqueness
Ivan Corwin, Alan Hammond, Milind Hegde +1
In 2002, Johansson conjectured that the maximum of the Airy process minus the parabola is almost surely achieved at a unique location. This result was proved a decade lat…
Optimal tail exponents in general last passage percolation via bootstrapping & geodesic geometry
Shirshendu Ganguly, Milind Hegde
We consider last passage percolation on with general weight distributions, which is expected to be a member of the Kardar-Parisi-Zhang (KPZ) universality class. In th…
Interlacing and scaling exponents for the geodesic watermelon in last passage percolation
Riddhipratim Basu, Shirshendu Ganguly, Alan Hammond +1
In discrete planar last passage percolation (LPP), random values are assigned independently to each vertex in , and each finite upright path in is ascrib…
Brownian structure in the KPZ fixed point
Jacob Calvert, Alan Hammond, Milind Hegde
Many models of one-dimensional local random growth are expected to lie in the Kardar-Parisi-Zhang (KPZ) universality class. For such a model, the interface profile at advanced time…
Lower Deviations in -ensembles and Law of Iterated Logarithm in Last Passage Percolation
Riddhipratim Basu, Shirshendu Ganguly, Milind Hegde +1
For the last passage percolation (LPP) on with exponential passage times, let denote the passage time from to . We investigate the law of iter…
Critical point for infinite cycles in a random loop model on trees
Alan Hammond, Milind Hegde
We study a spatial model of random permutations on trees with a time parameter , a special case of which is the random stirring process. The model on trees was first analysed…