Joint Large Deviation principle for empirical measures of the d-regular random graphs

U. Ibrahim; A. Lotsi; K. Doku-Amponsah

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arXiv · 1711.05028

Joint Large Deviation principle for empirical measures of the d-regular random graphs

U. Ibrahim·A. Lotsi·K. Doku-Amponsah

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Abstract

For a $d-$regular random model, we assign to vertices $q-$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 $d-$regular random graph model. For these empirical measures we obtain large deviation principle(LDP) in the weak topology.

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BibTeX RIS

U. Ibrahim, A. Lotsi, K. Doku-Amponsah. 2017-11-14. Joint Large Deviation principle for empirical measures of the d-regular random graphs. https://arxiv.org/abs/1711.05028

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