4 papers · 1 filter
Improved universality bounds for directed polymers in the intermediate disorder regime
Pranay Agarwal
We prove universality of Tracy-Widom GUE fluctuations for directed polymers in dimensions in the intermediate disorder regime. Building on the Lindeberg replacement method of…
Large Deviation Principle for Last Passage Percolation Models
Pranay Agarwal
Study of the KPZ universality class has seen the emergence of universal objects over the past decade which arise as the scaling limit of the member models. One such object is the d…
Sharp deviation bounds for midpoint and endpoint of geodesics in exponential last passage percolation
Pranay Agarwal, Riddhipratim Basu
For exponential last passage percolation on the plane we analyse the probability that the point-to-line geodesic exhibits an atypically large transversal fluctuation at the endpoin…
Lower bound for large local transversal fluctuations of Geodesics in Last Passage Percolation
Pranay Agarwal
For exactly solvable models of planar last passage percolation, it is known that geodesics of length exhibit transversal fluctuations at scale and matching (up to exp…