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A temporal perspective on the rate of convergence in first-passage percolation under a moment condition

arXiv:1408.0833

Abstract

We study the rate of convergence in the Shape Theorem of first-passage percolation, obtaining the precise asymptotic rate of decay for the probability of linear order deviations under a moment condition. Our results are stated for a given time and complements recent work by the same author, in which the rate of convergence was studied from the standard spatial perspective.

4 pages