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math.PR2020★ 2 cited
Large deviations and a phase transition in the Block Spin Potts models
Holger Knöpfel, Matthias Löwe, Holger Sambale
We introduce and analyze a generalization of the blocks spin Ising (Curie-Weiss) models that were discussed in a number of recent articles. In these block spin models each spin in…
math.PR2020
A Central Limit Theorem for incomplete U-statistics over triangular arrays
Matthias Löwe, Sara Terveer
We analyze the fluctuations of incomplete -statistics over a triangular array of independent random variables. We give criteria for a Central Limit Theorem (CLT, for short) to h…
math.PR2020
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…