Annealed limit theorems for the ising model on random regular graphs

Van Hao Can

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arXiv · 1701.08639

Annealed limit theorems for the ising model on random regular graphs

Van Hao Can

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Abstract

In a recent paper [15], Giardin{à}, Giberti, Hofstad, Prioriello have proved a law of large number and a central limit theorem with respect to the annealed measure for the magnetization of the Ising model on some random graphs including the random 2-regular graph. We present a new proof of their results, which applies to all random regular graphs. In addition, we prove the existence of annealed pressure in the case of configuration model random graphs.

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BibTeX RIS

Van Hao Can. 2017-06-26. Annealed limit theorems for the ising model on random regular graphs. https://arxiv.org/abs/1701.08639

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