20 citations · 59 across the 13 of their papers we have counts for
17 papers
Fine asymptotics of the magnetization of the annealed dilute Curie-Weiss model
Fabian Apostel, Hanna Döring, Kristina Schubert
We consider the dilute Curie-Weiss model of size , which is a generalization of the classical Curie-Weiss model in which the dependency structure between the spins is encoded no…
The Method of Cumulants for the Normal Approximation
Hanna Döring, Sabine Jansen, Kristina Schubert
The survey is dedicated to a celebrated series of quantitave results, developed by the Lithuanian school of probability, on the normal approximation for a real-valued random variab…
Fluctuations of the Magnetization for Ising models on Erdős-Rényi Random Graphs -- the Regimes of Low Temperature and External Magnetic Field
Zakhar Kabluchko, Matthias Löwe, Kristina Schubert
We continue our analysis of Ising models on the (directed) Erdős-Rényi random graph . We prove a quenched Central Limit Theorem for the magnetization and describe the fluct…
Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs
Zakhar Kabluchko, Matthias Löwe, Kristina Schubert
We analyze Ising/Curie-Weiss models on the Erdős-Rényi graph with vertices and edge probability that were introduced by Bovier and Gayrard [J.\ Statist.\ Phys., 72(3-4…
Fluctuations of the Magnetization for Ising Models on Erdős-Rényi Random Graphs -- the Regimes of Small p and the Critical Temperature
Zakhar Kabluchko, Matthias Löwe, Kristina Schubert
We continue our analysis of Ising models on the (directed) Erdős-Rényi random graph. This graph is constructed on vertices and every edge has probability to be present. The…
Exact Recovery in Block Spin Ising Models at the Critical Line
Matthias Löwe, Kristina Schubert
We show how to exactly reconstruct the block structure at the critical line in the so-called Ising block model. This model was re-introduced by Berthet, Rigollet and Srivastava in…