Large deviations for the annealed Ising model on inhomogeneous random graphs: spins and degrees (2018)
Journal Article
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

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 vertice... Read More about Large deviations for the annealed Ising model on inhomogeneous random graphs: spins and degrees.

Metastability of the Ising model on random regular graphs at zero temperature (2015)
Journal Article
Dommers, S. (2017). Metastability of the Ising model on random regular graphs at zero temperature. Probability theory and related fields, 167(1-2), 305-324. https://doi.org/10.1007/s00440-015-0682-0

We study the metastability of the ferromagnetic Ising model on a random r-regular graph in the zero temperature limit. We prove that in the presence of a small positive external field the time that it takes to go from the all minus state to the all p... Read More about Metastability of the Ising model on random regular graphs at zero temperature.