Two sufficient conditions for Poisson approximations in the ferromagnetic Ising model

DOI10.1214/1214/07-AAP487zbMath1147.82009arXivmath/0610939MaRDI QIDQ939071

David Coupier

Publication date: 20 August 2008

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0610939

zbMATH Keywords

Ising modelPoisson approximationStein-Chen methodferromagnetic interaction

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Statistical mechanics of magnetic materials (82D40)

Related Items (1)

Geography of local configurations

Uses Software

• MegaWave

Cites Work

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• Two moments suffice for Poisson approximations: The Chen-Stein method
• Gibbs measures and phase transitions
• Poisson approximation for dependent trials
• Correlation inequalities on some partially ordered sets
• Maximal meaningful events and applications to image analysis
• Poissonian behavior of Ising spin systems in an external field
• Loss network representation of Peierls contours
• Occurrence, repetition and matching of patterns in the low-temperature Ising model
• Poisson approximations for the Ising model
• Image denoising by statistical area thresholding
• Compound Poisson approximation of word counts in DNA sequences

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