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2018 Fluctuations for block spin Ising models
Matthias Löwe, Kristina Schubert
Electron. Commun. Probab. 23: 1-12 (2018). DOI: 10.1214/18-ECP161

Abstract

We analyze the high temperature fluctuations of the magnetization of the so-called Ising block model. This model was recently introduced by Berthet et al. in [2]. We prove a Central Limit Theorems (CLT) for the magnetization in the high temperature regime. At the same time we show that this CLT breaks down at a line of critical temperatures. At this line we prove a non-standard CLT for the magnetization.

Citation

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Matthias Löwe. Kristina Schubert. "Fluctuations for block spin Ising models." Electron. Commun. Probab. 23 1 - 12, 2018. https://doi.org/10.1214/18-ECP161

Information

Received: 22 June 2018; Accepted: 6 August 2018; Published: 2018
First available in Project Euclid: 1 September 2018

zbMATH: 1402.60027
MathSciNet: MR3852267
Digital Object Identifier: 10.1214/18-ECP161

Subjects:
Primary: 60F05, 60G09, 82B05

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