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 $G(N,p)$. We prove a quenched Central Limit Theorem for the magnetization and describe the fluct…