Joint large deviation result for empirical measures of the coloured random geometric graphs
Probability
2016-07-26 v4
Abstract
We prove joint large deviation principle for the \emph{ empirical pair measure} and \emph{empirical locality measure} of the \emph{near intermediate} coloured random geometric graph models on points picked uniformly in a dimensional torus of a unit circumference.From this result we obtain large deviation principles for the \emph{number of edges per vertex}, the \emph{degree distribution and the proportion of isolated vertices } for the \emph{near intermediate} random geometric graph models.
Keywords
Cite
@article{arxiv.1406.3171,
title = {Joint large deviation result for empirical measures of the coloured random geometric graphs},
author = {Kwabena Doku-Amponsah},
journal= {arXiv preprint arXiv:1406.3171},
year = {2016}
}
Comments
13 pages. arXiv admin note: substantial text overlap with arXiv:1312.6326