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

Dommers, Sander; Giardinà, Cristian; Giberti, Claudio; Hofstad, Remco van der

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.

Citation

Dommers, S., Giardinà, C., Giberti, C., & Hofstad, R. V. D. (2018). Large deviations for the annealed Ising model on inhomogeneous random graphs: spins and degrees. Journal of statistical physics, 173(3-4), 1045-1081. https://doi.org/10.1007/s10955-018-2027-8

• Journal Article Type: Article
• Acceptance Date: Mar 26, 2018
• Online Publication Date: Apr 7, 2018
• Publication Date: Nov 1, 2018
• Deposit Date: Jun 28, 2018
• Publicly Available Date: Apr 8, 2019
• Print ISSN: 0022-4715
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 173
• Issue: 3-4
• Pages: 1045-1081
• DOI: https://doi.org/10.1007/s10955-018-2027-8
• Keywords: Random graphs; Ising model; Annealing; Large deviations
• Public URL: https://hull-repository.worktribe.com/output/898751
• Publisher URL: https://link.springer.com/article/10.1007/s10955-018-2027-8
• Contract Date: Jun 29, 2018