All Outputs (6)

Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field (2019)
Journal Article
Dommers, S., & Eichelsbacher, P. (online). Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field. Stochastic processes and their applications, https://doi.org/10.1016/j.spa.2019.02.007

We study the inhomogeneous Curie-Weiss model with external field, where the inhomo-geneity is introduced by adding a positive weight to every vertex and letting the interaction strength between two vertices be proportional to the product of their wei... Read More about Berry-Esseen bounds in the inhomogeneous Curie-Weiss model with external field.

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 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, Article 70. https://doi.org/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 about Metastability in the reversible inclusion process.

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. https://doi.org/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 about Ising Critical Behavior of Inhomogeneous Curie-Weiss Models and Annealed Random Graphs.

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.

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. https://doi.org/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 about Ising critical exponents on random trees and graphs.