Fluctuations of the Magnetization for Ising models on Erd\H{o}s-R\'enyi Random Graphs -- the Regimes of Low Temperature and External Magnetic Field

zbMath1494.82022arXiv2012.08204MaRDI QIDQ5093980

Zakhar Kabluchko, Kristina Schubert, Matthias Loewe

Publication date: 2 August 2022

Full work available at URL: https://arxiv.org/abs/2012.08204

zbMATH Keywords

fluctuationsrandom graphscentral limit theoremIsing modeldilute Curie-Weiss model

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Random graphs (graph-theoretic aspects) (05C80) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items

Fluctuations in mean-field Ising models, When does the chaos in the Curie-Weiss model stop to propagate?

Cites Work

• Unnamed Item
• Unnamed Item
• Ising critical behavior of inhomogeneous Curie-Weiss models and annealed random graphs
• Nonnormal approximation by Stein's method of exchangeable pairs with application to the Curie-Weiss model
• Ising models on power-law random graphs
• Stein's method for dependent random variables occuring in statistical mechanics
• Quenched central limit theorems for the Ising model on random graphs
• Entropy, large deviations, and statistical mechanics.
• Ising models on locally tree-like graphs
• Gibbs measures and phase transitions on sparse random graphs
• Fluctuations for the partition function of Ising models on Erdös-Rényi random graphs
• Fluctuations of the magnetization for Ising models on dense Erdős-Rényi random graphs
• Ising critical exponents on random trees and graphs
• The thermodynamics of the Curie-Weiss model with random couplings
• Annealed central limit theorems for the Ising model on random graphs
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Limit theorems for sums of dependent random variables occurring in statistical mechanics
• Fluctuations of the magnetization for Ising models on Erdős–Rényi random graphs—the regimes of small p and the critical temperature ^*