Asymptotics of even-even correlations in the Ising model

Monday, 23 April, 2018

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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.


Sébastien Ott
Yvan Velenik