Manan Bhatia

collaborators

3 papers

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

Moderate deviation and exit time estimates for stationary Last Passage Percolation

Manan Bhatia

We consider planar stationary exponential Last Passage Percolation in the positive quadrant with boundary weights. For $ρ \in (0, 1)$ and points $v_{N} = ((1 - ρ)^{2} N, ρ^{2} N)$ going to infi…