Brazilian Journal of Probability and Statistics
- Braz. J. Probab. Stat.
- Volume 33, Number 2 (2019), 397-401.
A temporal perspective on the rate of convergence in first-passage percolation under a moment condition
We study the rate of convergence in the celebrated Shape Theorem in first-passage percolation, obtaining the precise asymptotic rate of decay for the probability of linear order deviations under a moment condition. Our results are presented from a temporal perspective and complement previous work by the same author, in which the rate of convergence was studied from the standard spatial perspective.
Braz. J. Probab. Stat., Volume 33, Number 2 (2019), 397-401.
Received: December 2017
Accepted: January 2018
First available in Project Euclid: 4 March 2019
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Ahlberg, Daniel. A temporal perspective on the rate of convergence in first-passage percolation under a moment condition. Braz. J. Probab. Stat. 33 (2019), no. 2, 397--401. doi:10.1214/18-BJPS394. https://projecteuclid.org/euclid.bjps/1551690040