3 citations · 4 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
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…
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…