Fluctuation results for general block spin Ising models

DOI10.1007/s10955-020-02489-0zbMath1434.60073arXiv1902.02080OpenAlexW2914361613MaRDI QIDQ1984820

Holger Knöpfel, Kristina Schubert, Arthur Sinulis, Matthias Loewe

Publication date: 7 April 2020

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.02080

zbMATH Keywords

Stein's methodphase transitioncentral limit theoremlarge deviation principleblock spin Ising models

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Large deviations (60F10) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (7)

Exact recovery in block spin Ising models at the critical line ⋮ Cutoff and dynamical phase transition for the general multi-component Ising model ⋮ Propagation of chaos and large deviations in mean-field models with jumps on block-structured networks ⋮ Large deviations, a phase transition, and logarithmic Sobolev inequalities in the block spin Potts model ⋮ Local central limit theorem for multi-group Curie-Weiss models ⋮ Limit theorems for multi-group Curie-Weiss models via the method of moments ⋮ Fluctuations of the magnetization in the block Potts model

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