4 papers · 1 filter
Uniformity of extremal behaviour along geodesics in Liouville quantum gravity
Manan Bhatia, Konstantinos Kavvadias
In random geometry, geodesics often have a tendency to coalesce together and traverse regions highly singular relative to typical environments. In this paper, working with the mode…
Strong confluence of geodesics in Liouville quantum gravity
Manan Bhatia, Konstantinos Kavvadias
-Liouville quantum gravity (-LQG) constitutes a family of planar random geometries whose geodesics exhibit intricate fractal behaviour. As is observed in various planar model…
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 to denote a geodesic from to at…
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…