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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

Metastability in the reversible inclusion process (2017)
Journal Article
Bianchi, A., Dommers, S., & Giardinà, C. (2017). Metastability in the reversible inclusion process. Electronic journal of probability, 22, doi:10.1214/17-EJP98

We study the condensation regime of the finite reversible inclusion process, i.e., the inclusion process on a finite graph S with an underlying random walk that admits a reversible measure. We assume that the random walk kernel is irreducible and its... Read More

Ising Critical Behavior of Inhomogeneous Curie-Weiss Models and Annealed Random Graphs (2016)
Journal Article
Dommers, S., Giardinà, C., Giberti, C., van der Hofstad, R., & Prioriello, M. L. (2016). Ising Critical Behavior of Inhomogeneous Curie-Weiss Models and Annealed Random Graphs. Communications in mathematical physics, 348(1), 221-263. doi:10.1007/s00220-016-2752-2

We study the critical behavior for inhomogeneous versions of the Curie-Weiss model, where the coupling constant Jij(β) for the edge ij on the complete graph is given by Jij(β)=βwiwj/(∑k∈[N]wk) . We call the product form of these couplings the... Read More

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. doi: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

Ising critical exponents on random trees and graphs (2014)
Journal Article
Dommers, S., Giardinà, C., & van der Hofstad, R. (2014). Ising critical exponents on random trees and graphs. Communications in mathematical physics, 328(1), 355-395. doi:10.1007/s00220-014-1992-2

We study the critical behavior of the ferromagnetic Ising model on random trees as well as so-called locally tree-like random graphs. We pay special attention to trees and graphs with a power-law offspring or degree distribution whose tail behavior i... Read More