Local Central Limit Theorem for Multi-group Curie–Weiss Models
نویسندگان
چکیده
Abstract We study a multi-group version of the mean-field Ising model, also called Curie–Weiss model. It is known that, in high-temperature regime this central limit theorem holds for vector suitably scaled group magnetisations, that is, sum spins belonging to each group. In article, we prove local magnetisations regime.
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ژورنال
عنوان ژورنال: Journal of Theoretical Probability
سال: 2021
ISSN: ['1572-9230', '0894-9840']
DOI: https://doi.org/10.1007/s10959-021-01122-4