Joint large deviation result for empirical measures of the coloured random geometric graphs
arXiv:1406.3171
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.
13 pages. arXiv admin note: substantial text overlap with arXiv:1312.6326