Comparison of limit shapes for Bernoulli first-passage percolation

We consider Bernoulli first-passage percolation on the  [Formula: see text]-dimensional hypercubic lattice with  [Formula: see text]. The passage time of edge  [Formula: see text] is 0 with probability  [Formula: see text] and 1 with probability  [Formula: see text], independently of each other. Let...

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Bibliographic Details
Main Authors: Naoki Kubota, Masato Takei
Format: Article
Language:English
Published: World Scientific Publishing 2022-12-01
Series:International Journal of Mathematics for Industry
Subjects:
Online Access:https://www.worldscientific.com/doi/10.1142/S2661335222500058