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

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