Showing math.PRShow all
2 papers · 1 filter
math.PR2026
Lower bounds on non-random fluctuations in planar first passage percolation
Malte Hassler
The fluctuations of the passage time in first passage percolation are of great interest. We show that the non-random fluctuations in planar FPP are at least of order $\sqrt{\log n}…
math.PR2025
Classification of the limit shape for 1+1-dimensional FPP
Malte Hassler
We introduce a simplified model of planar first passage percolation where weights along vertical edges are deterministic. We show that the limit shape has a flat edge in the vertic…