Article ID Journal Published Year Pages File Type
1153074 Statistics & Probability Letters 2013 8 Pages PDF
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
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