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math.PR2026
Random Trees in Hyperbolic FPP
Riddhipratim Basu, Mahan Mj
We start by surveying known properties of first passage percolation (FPP) geodesics on a Gromov-hyperbolic group . Due to a coalescence phenomenon established in earlier work of…
math.PR2026
Rotationally invariant first passage percolation: Breaking the variance barrier
Riddhipratim Basu, Vladas Sidoravicius, Allan Sly
For first passage percolation (FPP) on Euclidean lattices with , it is expected that the variance of the first passage time between two points grows sublinea…