Joint large deviation principle for some empirical measures of the d-regular random graphs
Date
2021
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Taylor & Francis Group
Abstract
In this paper, we define a d–regular random model by perfect matching of vertices or
paring of vertices. For each vertex, we assign a q–state spin. From this d–regular graph model,
we define the empirical co-operate measure, which enumerates the number of co-operation
between a given couple of spins, and 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.
Description
Research Article
Keywords
d–regular random graph, Random partition function, Empirical cooperate measure, Empirical spin measure, Large deviation principle