TY - JOUR
T1 - Joint large deviation principle for some empirical measures of the d-regular random graphs
AU - Ibrahim, U.
AU - Lotsi, A.
AU - Doku-Amponsah, K.
N1 - Publisher Copyright:
© 2021 Taru Publications.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - 05C80
KW - 60F10
KW - Empirical cooperate measure
KW - Empirical spin measure
KW - Large deviation principle
KW - Random partition function
KW - d–regular random graph
UR - http://www.scopus.com/inward/record.url?scp=85116114282&partnerID=8YFLogxK
U2 - 10.1080/09720529.2021.1891696
DO - 10.1080/09720529.2021.1891696
M3 - Article
AN - SCOPUS:85116114282
SN - 0972-0529
VL - 24
SP - 1767
EP - 1773
JO - Journal of Discrete Mathematical Sciences and Cryptography
JF - Journal of Discrete Mathematical Sciences and Cryptography
IS - 6
ER -