A phase transformation for the number of optimal paths in first passage percolation

2019/05/30 by Zhang, Yu
#60K 35 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1905.12819

Abstract

We consider the first passage percolation model on the square lattice with an edge weight distribution F. In this paper, we consider the number of optimal paths for two points separated by a long distance. We show that there is a phase transition in the sub-criticality and the criticality.

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