The Method of Cumulants for the Normal Approximation

no code implementations • 2 Feb 2021 • 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 variable.

Probability 60F05, 60F10, 60G70

Fluctuations of the Magnetization for Ising models on Erdős-Rényi Random Graphs -- the Regimes of Low Temperature and External Magnetic Field

no code implementations • 15 Dec 2020 • Zakhar Kabluchko, Matthias Löwe, Kristina Schubert

We continue our analysis of Ising models on the (directed) Erd\H{o}s-R\'enyi random graph $G(N, p)$.

Probability 82B44, 82B20