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20112026
most citedLast Passage Percolation with a Defect Line and the Solution of the Slow Bond Problem

65 citations · 164 across the 32 of their papers we have counts for

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Showing 2017Show all

7 papers · 1 filter

math.PR2017

Upper Tail Large Deviations in First Passage Percolation

Riddhipratim Basu, Shirshendu Ganguly, Allan Sly

For first passage percolation on with i.i.d. bounded edge weights, we consider the upper tail large deviation event; i.e., the rare situation where the first passage…

math.PR2017

Delocalization of Polymers in Lower Tail Large Deviation

Riddhipratim Basu, Shirshendu Ganguly, Allan Sly

Directed last passage percolation models on the plane, where one studies the weight as well as the geometry of optimizing paths (called polymers) in a field of i.i.d. weights, are…

math.PR2017

Exponential concentration for zeroes of stationary Gaussian processes

Riddhipratim Basu, Amir Dembo, Naomi Feldheim +1

We show that for any centered stationary Gaussian process of integrable covariance, whose spectral measure has compact support, or finite exponential moments (and some additional r…

math.PR2017

Activated Random Walk on a cycle

Riddhipratim Basu, Shirshendu Ganguly, Christopher Hoffman +1

We consider Activated Random Walk (ARW), a particle system with mass conservation, on the cycle . One starts with a mass density of initially active p…

math.PR2017★ 14 cited

Invariant Measures for TASEP with a Slow Bond

Riddhipratim Basu, Sourav Sarkar, Allan Sly

Totally Asymmetric Simple Exclusion Process (TASEP) on is one of the classical exactly solvable models in the KPZ universality class. We study the "slow bond" model, w…

math.PR2017★ 13 cited

The Competition of Roughness and Curvature in Area-Constrained Polymer Models

Riddhipratim Basu, Shirshendu Ganguly, Alan Hammond

The competition between local Brownian roughness and global parabolic curvature experienced in many random interface models reflects an important aspect of the KPZ universality cla…

math.PR2017

Coalescence of Geodesics in Exactly Solvable Models of Last Passage Percolation

Riddhipratim Basu, Sourav Sarkar, Allan Sly

Coalescence of semi-infinite geodesics remains a central question in planar first passage percolation. In this paper we study finer properties of the coalescence structure of finit…