Allan Sly

collaborators

Showing math.PRShow all

2 papers · 1 filter

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.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…

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

Rotationally invariant first passage percolation: Concentration and scaling relations

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