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- W2483260174 abstract "The paper gives probabilists who are unfamiliar with the Ising model a coherent, integrated explanation of why the Ising model displays long-range dependence at critical temperature. The Ising model in two dimensions involves spins σj,k = ±1 located at every node (j, k) of the lattice, with nearest neighbor interactions. We shall focus on the covariances Eσ0,0σ0,N and Eσ0,0σN,N between the spin at the origin and the spin located either on the axis at (0, N) or located on the diagonal at (N,N), when the temperature equals a critical value. Using a recent formulation of the so-called “Szego’s theorem”, we explain why these covariances decrease to zero like N as N → ∞, thus at a slow enough rate so as to exhibit long-range dependence." @default.
- W2483260174 created "2016-08-23" @default.
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- W2483260174 date "2015-02-26" @default.
- W2483260174 modified "2023-09-27" @default.
- W2483260174 title "Long-range dependence of the two-dimensional Ising model at critical temperature" @default.
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- W2483260174 doi "https://doi.org/10.1142/9789814366076_0018" @default.
- W2483260174 hasPublicationYear "2015" @default.
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