Non-Asymptotic Concentration of Magnetization in the Curie-Weiss Model at Subcritical Temperatures

Yingdong Lu

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arXiv · 2303.00227

Non-Asymptotic Concentration of Magnetization in the Curie-Weiss Model at Subcritical Temperatures

Yingdong Lu

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Abstract

In this short paper, we obtain non-asymptotic concentration results for magnetization of the Curie-Weiss model at subcritical temperatures, which leads to a diffusion limit theorem of the scaled and centered magnetization driven by a Metropolis-Hasting algorithm. These results are complementary to results at supercritical and critical temperatures in Bierkens et al (2017).

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Yingdong Lu. 2023-03-01. Non-Asymptotic Concentration of Magnetization in the Curie-Weiss Model at Subcritical Temperatures. https://arxiv.org/abs/2303.00227

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