Abstract
Let μ (F) be the time constant of first-passage percolation on the square lattice with underlying distribution function F. Two theorems are presented which show, under some restrictions, that μ varies continuously in F with respect to weak convergence. These results are improvements of existing continuity theorems.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Statistics and Probability
Reference7 articles.
1. First-Passage Percolation on the Square Lattice
2. Weak moment conditions for time coordinates in first-passage percolation models
3. First-passage percolation;Hammersley;J. R. Statist. Soc.,1966
4. Random growth in a tessellation;Richardson;Proc. Camb. Phil. Soc.,1974
Cited by
28 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献