Large deviations for the annealed Ising model on inhomogeneous random graphs: spins and degrees

Abstract

We prove a large deviations principle for the total spin and the number of edges under the annealed Ising measure on generalized random graphs. We also give detailed results on how the annealing over the Ising model changes the degrees of the vertices in the graph and show how it gives rise to interesting correlated random graphs.

34 pages

References in corpus (5)

• Critical phenomena in complex networks
• Generating simple random graphs with prescribed degree distribution
• Ising models on power-law random graphs
• Ising critical behavior of inhomogeneous Curie-Weiss models and annealed random graphs
• Quenched central limit theorems for the Ising model on random graphs

Cited by in corpus (1)

• Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field