Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1153074 | Statistics & Probability Letters | 2013 | 8 Pages |
Abstract
In this paper, we obtain moderate deviations for the graph distance in supercritical continuum percolation and the corresponding shape theorem. Using the moderate deviations, we get the fluctuation exponents for the geodesics, which are not yet obtained for lattice first passage percolation. These results have applications in communication networks.
Related Topics
Physical Sciences and Engineering
Mathematics
Statistics and Probability
Authors
Changlong Yao,