Manan Bhatia

collaborators

3 papers

math.PR2025

Strong confluence of geodesics in Liouville quantum gravity

Manan Bhatia, Konstantinos Kavvadias

$γ$ -Liouville quantum gravity ( $γ$ -LQG) constitutes a family of planar random geometries whose geodesics exhibit intricate fractal behaviour. As is observed in various planar model…

math.PR2025

Geodesic switches and exceptional times in dynamical Brownian last passage percolation

Manan Bhatia

We consider Brownian last passage percolation evolving dynamically via a discrete resampling procedure. Using $I^_{(0, 0)}^{(n, n), r}$ to denote a geodesic from $(0, 0)$ to $(n, n)$ at…

math.PR2025

Near-existence of bigeodesics in dynamical exponential last passage percolation

Manan Bhatia

It is believed that, under very general conditions, bi-infinite geodesics (or bigeodesics) do not exist for planar first and last passage percolation (LPP) models. However, if one…