Riddhipratim Basu

activity

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

collaborators

46 papers

math.PR2026

Random Trees in Hyperbolic FPP

Riddhipratim Basu, Mahan Mj

We start by surveying known properties of first passage percolation (FPP) geodesics on a Gromov-hyperbolic group $G$ . Due to a coalescence phenomenon established in earlier work of…

math.PR2026

Rotationally invariant first passage percolation: Breaking the $n / lo g n$ variance barrier

Riddhipratim Basu, Vladas Sidoravicius, Allan Sly

For first passage percolation (FPP) on Euclidean lattices $Z^{d}$ with $d \geq 2$ , it is expected that the variance of the first passage time between two points grows sublinea…

math.PR2025

Large deviations of geodesic midpoint fluctuations in last-passage percolation with general i.i.d. weights

Tom Alberts, Riddhipratim Basu, Sean Groathouse +1

The study of transversal fluctuations of the optimal path is a crucial aspect of the Kardar-Parisi-Zhang (KPZ) universality class. In this work, we establish the large deviation li…

math.PR2024

Geodesic Trees and Exceptional Directions in FPP on Hyperbolic Groups

Riddhipratim Basu, Mahan Mj

We continue the study of the geometry of infinite geodesics in first passage percolation (FPP) on Gromov-hyperbolic groups G, initiated by Benjamini-Tessera and developed further b…

math.PR2024

The Paquette-Zeitouni law of fractional logarithms for the GUE minor process and the Plancherel growth process

Jnaneshwar Baslingker, Riddhipratim Basu, Sudeshna Bhattacharjee +1

It is well-known that the largest eigenvalue of an $n \times n$ GUE matrix and the length of a longest increasing subsequence in a uniform random permutation of length $n$ , both con…

math.PR2024

Limit theorems for extrema of Airy processes

Riddhipratim Basu, Sudeshna Bhattacharjee

We establish limit theorems for the maxima and minima of Airy $_{1}$ and Airy $_{2}$ processes (denoted by $A_{1} (\cdot)$ and $A_{2} (\cdot)$ respectively) over growing in…

math.PR2024★ 2 cited

Optimal tail estimates in $β$ -ensembles and applications to last passage percolation

Jnaneshwar Baslingker, Riddhipratim Basu, Sudeshna Bhattacharjee +1

Hermite and Laguerre $β$ -ensembles are important and well studied models in random matrix theory with special cases $β = 1, 2, 4$ corresponding to eigenvalues of classical random matri…

math.PR2024

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…

math.PR2023

Rotationally invariant first passage percolation: Concentration and scaling relations

Riddhipratim Basu, Vladas Sidoravicius, Allan Sly

For rotationally invariant first passage percolation (FPP) on the plane, we use a multi-scale argument to prove stretched exponential concentration of the first passage times at th…

math.PR2023

Geodesic trees in last passage percolation and some related problems

Márton Balázs, Riddhipratim Basu, Sudeshna Bhattacharjee

For the exactly solvable model of exponential last passage percolation on $Z^{2}$ , it is known that given any non-axial direction, all the semi-infinite geodesics starting f…

math.PR2023

Time correlations in KPZ models with diffusive initial conditions

Riddhipratim Basu, Xiao Shen

Temporal correlation for randomly growing interfaces in the KPZ universality class is a topic of recent interest. Most of the works so far have been concentrated on the zero temper…

math.PR2023

Temporal correlation in the inverse-gamma polymer

Riddhipratim Basu, Timo Seppäläinen, Xiao Shen

Understanding the decay of correlations in time for (1+1)-dimensional polymer models in the KPZ universality class has been a challenging topic. Following numerical studies by phys…

math.PR2023★ 1 cited

A Peano curve from mated geodesic trees in the directed landscape

Riddhipratim Basu, Manan Bhatia

For the directed landscape, the putative universal space-time scaling limit object in the (1+1) dimensional Kardar-Parisi-Zhang (KPZ) universality class, consider the geodesic tree…

math.PR2022★ 6 cited

On the exponent governing the correlation decay of the Airy $_{1}$ process

Riddhipratim Basu, Ofer Busani, Patrik L. Ferrari

We study the decay of the covariance of the Airy $_{1}$ process, $A_{1}$ , a stationary stochastic process on $R$ that arises as a universal scaling limit in the Karda…

math.PR2021

Environment seen from infinite geodesics in Liouville Quantum Gravity

Riddhipratim Basu, Manan Bhatia, Shirshendu Ganguly

First passage percolation (FPP) on $Z^{d}$ or $R^{d}$ is a canonical model of a random metric space where the standard Euclidean geometry is distorted by random noise…

math.PR2021

Small deviation estimates and small ball probabilities for geodesics in last passage percolation

Riddhipratim Basu, Manan Bhatia

For the exactly solvable model of exponential last passage percolation on $Z^{2}$ , consider the geodesic $Γ_{n}$ joining $(0, 0)$ and $(n, n)$ for large $n$ . It is well known th…

math.PR2020★ 1 cited

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 $Z^{2}$ , and each finite upright path in $Z^{2}$ is ascrib…

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…

math.PR2018★ 9 cited

Nonexistence of Bigeodesics in Integrable Models of Last Passage Percolation

Riddhipratim Basu, Christopher Hoffman, Allan Sly

Bi-infinite geodesics are fundamental objects of interest in planar first passage percolation. A longstanding conjecture states that under mild conditions there are almost surely n…

Random Trees in Hyperbolic FPP

Rotationally invariant first passage percolation: Breaking the n/logn variance barrier

Large deviations of geodesic midpoint fluctuations in last-passage percolation with general i.i.d. weights

Geodesic Trees and Exceptional Directions in FPP on Hyperbolic Groups

The Paquette-Zeitouni law of fractional logarithms for the GUE minor process and the Plancherel growth process

Limit theorems for extrema of Airy processes

Optimal tail estimates in β-ensembles and applications to last passage percolation

Sharp deviation bounds for midpoint and endpoint of geodesics in exponential last passage percolation

Rotationally invariant first passage percolation: Concentration and scaling relations

Geodesic trees in last passage percolation and some related problems

Time correlations in KPZ models with diffusive initial conditions

Temporal correlation in the inverse-gamma polymer

A Peano curve from mated geodesic trees in the directed landscape

On the exponent governing the correlation decay of the Airy1​ process

Environment seen from infinite geodesics in Liouville Quantum Gravity

Small deviation estimates and small ball probabilities for geodesics in last passage percolation

Interlacing and scaling exponents for the geodesic watermelon in last passage percolation

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

Nonexistence of Bigeodesics in Integrable Models of Last Passage Percolation

Rotationally invariant first passage percolation: Breaking the $n / lo g n$ variance barrier

Optimal tail estimates in $β$ -ensembles and applications to last passage percolation

On the exponent governing the correlation decay of the Airy $_{1}$ process

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