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

2014/08/04 by Daniel Ahlberg, Ahlberg, Daniel
Mathematics · #60K35 #FOS: Mathematics #Probability (math.PR) #math.PR #msc:60K35

paper · pdf · doi:10.48550/arxiv.1408.0833

4 pages

arxiv created 2014/08/04 · arxiv updated 2014/08/06

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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