A note on geodesics for supercritical continuum percolation

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.

MoreLess

Year of publication:	2013
Authors:	Yao, Changlong
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 83.2013, 3, p. 797-804
Publisher:	Elsevier
Subject:	Continuum percolation \| First passage percolation \| Chemical distance \| Shape theorem \| Geodesic

More details

Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10010616886