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

Daniel Ahlberg

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arXiv · 1408.0833

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

Daniel Ahlberg

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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.

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Daniel Ahlberg. 2014-08-04. A temporal perspective on the rate of convergence in first-passage percolation under a moment condition. https://arxiv.org/abs/1408.0833

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