Ahlberg, Daniel A temporal perspective on the rate of convergence in first-passage percolation under a moment condition. (English) Zbl 1478.60251 Braz. J. Probab. Stat. 33, No. 2, 397-401 (2019). Summary: 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. Cited in 1 Document MSC: 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60F15 Strong limit theorems Keywords:first-passage percolation; shape theorem; large deviations × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid