A temporal perspective on the rate of convergence in first-passage   percolation under a moment condition
  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. 
Daniel Ahlberg
math.PR