Riddhipratim Basu

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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 2019Show all

6 papers · 1 filter

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 $Δ$ -regular connected graph $H$ the problem of determining the upper tail large deviation for the number of copies of $H$ in $G (n, p)$ , 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 $Z^{2}$ 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 $β$ -ensembles and Law of Iterated Logarithm in Last Passage Percolation

Riddhipratim Basu, Shirshendu Ganguly, Milind Hegde +1

For the last passage percolation (LPP) on $Z^{2}$ with exponential passage times, let $T_{n}$ denote the passage time from $(1, 1)$ to $(n, n)$ . 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 $G$ with boundary $\partial G$ equipped with the Patterson-Sullivan measure $ν$ . 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 $n$ 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 $Z^{2}$ in the large deviation regime. Conditional on the upper tail large deviati…

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

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

Lower Deviations in β-ensembles and Law of Iterated Logarithm in Last Passage Percolation

First Passage Percolation on Hyperbolic groups

Fractal geometry of Airy_2 processes coupled via the Airy sheet

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

Lower Deviations in $β$ -ensembles and Law of Iterated Logarithm in Last Passage Percolation