Mathematics > Probability
[Submitted on 23 Apr 2018 (v1), last revised 25 Mar 2020 (this version, v3)]
Title:Asymptotics of even-even correlations in the Ising model
View PDFAbstract:We consider finite-range ferromagnetic Ising models on $\mathbb{Z}^d$ in the regime $\beta<\beta_c$. We analyze the behavior of the prefactor to the exponential decay of $\mathrm{Cov}(\sigma_A,\sigma_B)$, for arbitrary finite sets $A$ and $B$ of even cardinality, as the distance between $A$ and $B$ diverges.
Submission history
From: Yvan Velenik [view email][v1] Mon, 23 Apr 2018 10:22:52 UTC (112 KB)
[v2] Mon, 26 Nov 2018 07:25:46 UTC (112 KB)
[v3] Wed, 25 Mar 2020 16:47:43 UTC (109 KB)
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