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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…
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…
math.PR2017
Coalescence of Geodesics in Exactly Solvable Models of Last Passage Percolation
Riddhipratim Basu, Sourav Sarkar, Allan Sly
Coalescence of semi-infinite geodesics remains a central question in planar first passage percolation. In this paper we study finer properties of the coalescence structure of finit…