7 citations · 12 across the 7 of their papers we have counts for
7 papers
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…
When will (game) wars end?
Manan Bhatia, Byron Chin, Nitya Mani +1
We study several variants of the classical card game war. As anyone who played this game knows, the game can take some time to terminate, but it usually does. Here, we analyze a nu…
Duality in the directed landscape and its applications to fractal geometry
Manan Bhatia
Geodesic coalescence, or the tendency of geodesics to merge together, is a hallmark phenomenon observed in a variety of planar random geometries involving a random distortion of th…
Atypical stars on a directed landscape geodesic
Manan Bhatia
In random geometry, a recurring theme is that any two geodesics emanating from a typical point part ways at a strictly positive distance from the above point, and we call such poin…
Environment seen from infinite geodesics in Liouville Quantum Gravity
Riddhipratim Basu, Manan Bhatia, Shirshendu Ganguly
First passage percolation (FPP) on or is a canonical model of a random metric space where the standard Euclidean geometry is distorted by random noise…
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 , consider the geodesic joining and for large . It is well known th…
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 and points going to infi…