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math.PR2022
On the number and size of holes in the growing ball of first-passage percolation
Michael Damron, Julian Gold, Wai-Kit Lam +1
First-passage percolation is a random growth model defined on using i.i.d. nonnegative weights on the edges. Letting be the distance between vertice…
math.PR2019
Coalescence estimates for the corner growth model with exponential weights
Timo Seppäläinen, Xiao Shen
We establish estimates for the coalescence time of semi-infinite directed geodesics in the planar corner growth model with i.i.d. exponential weights. There are four estimates: upp…