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We analyze Ising/Curie-Weiss models on the (directed) Erdős-Renyi random graph on $N$ vertices in which every edge is present with probability $p$. These models were introduced by Bovier and Gayrard… Click to show full abstract
We analyze Ising/Curie-Weiss models on the (directed) Erdős-Renyi random graph on $N$ vertices in which every edge is present with probability $p$. These models were introduced by Bovier and Gayrard [J. Stat. Phys., 1993]. We prove a quenched Central Limit Theorem for the magnetization in the high-temperature regime $\beta<1$ when $p=p(N)$ satisfies $p^3N^2\to +\infty$.
Keywords:
models dense;
ising models;
fluctuations magnetization;
random;
magnetization ising;
dense erd
Journal Title: Journal of Statistical Physics
Year Published: 2019
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Journal Title: Journal of Statistical Physics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!