Joint Large Deviation principle for empirical measures of the d-regular random graphs
Probability
2017-11-15 v1 Information Theory
Combinatorics
math.IT
Abstract
For a regular random model, we assign to vertices state spins. From this model, we define the \emph{empirical co-operate measure}, which enumerates the number of co-operation between a given couple of spins, and \emph{ empirical spin measure}, which enumerates the number of sites having a given spin on the regular random graph model. For these empirical measures we obtain large deviation principle(LDP) in the weak topology.
Cite
@article{arxiv.1711.05028,
title = {Joint Large Deviation principle for empirical measures of the d-regular random graphs},
author = {U. Ibrahim and A. Lotsi and K. Doku-Amponsah},
journal= {arXiv preprint arXiv:1711.05028},
year = {2017}
}
Comments
5 pages