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arXiv · 1806.06000

Fluctuations for block spin Ising models

Matthias Löwe·Kristina Schubert
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Abstract

We analyze the high temperature fluctuations of the magnetization of the so-called Ising block model. This model was recently introduced by Berthet, Rigollet and Srivastava. 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 show the validity of a non-standard Central Limit Theorems for the magnetization.

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Matthias Löwe, Kristina Schubert. 2018-06-15. Fluctuations for block spin Ising models. https://arxiv.org/abs/1806.06000

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