期刊论文详细信息
Electronic Communications in Probability | |
Fluctuations for block spin Ising models | |
Matthias Löwe1  | |
关键词: Ising model; Curie-Weiss model; fluctuations; Central Limit Theorem; block model; | |
DOI : 10.1214/18-ECP161 | |
学科分类:统计和概率 | |
来源: Institute of Mathematical Statistics | |
【 摘 要 】
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.
【 授权许可】
CC BY
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO201910281860977ZK.pdf | 267KB | download |