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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 2019 · math.PRShow all

6 papers · 2 filters

math.PR2019

Upper tail large deviations of regular subgraph counts in Erdős-Rényi graphs in the full localized regime

Anirban Basak, Riddhipratim Basu

For a -regular connected graph the problem of determining the upper tail large deviation for the number of copies of in , an Erdős-Rényi gra…

math.PR2019★ 11 cited

Temporal Correlation in Last Passage Percolation with Flat Initial Condition via Brownian Comparison

Riddhipratim Basu, Shirshendu Ganguly, Lingfu Zhang

We consider directed last passage percolation on with exponential passage times on the vertices. A topic of great interest is the coupling structure of the weights o…

math.PR2019★ 1 cited

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…

math.PR2019

First Passage Percolation on Hyperbolic groups

Riddhipratim Basu, Mahan Mj

We study first passage percolation (FPP) on a Gromov-hyperbolic group with boundary equipped with the Patterson-Sullivan measure . We associate an i.i.d.\ colle…

math.PR2019

Fractal geometry of Airy_2 processes coupled via the Airy sheet

Riddhipratim Basu, Shirshendu Ganguly, Alan Hammond

In last passage percolation models lying in the Kardar-Parisi-Zhang universality class, maximizing paths that travel over distances of order accrue energy that fluctuates on sc…

math.PR2019

Connecting Eigenvalue Rigidity with Polymer Geometry: Diffusive Transversal Fluctuations under Large Deviation

Riddhipratim Basu, Shirshendu Ganguly

We consider the exactly solvable model of exponential directed last passage percolation on in the large deviation regime. Conditional on the upper tail large deviati…