Geodesic
Correlation functions of the semi-infinite two-dimensional ising model
Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 95-99 Cet article a éte moissonné depuis la source Math-Net.Ru

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The local magnetization of a spin at an arbitrary distance $(n-1)$ from the edge of the lattice is rigorously calculated for the semi-infinite two-dimensional Ising model. It is shown that as $T\to T_c$, $n\to\infty$ the magnetization takes the scaling form $\langle s_n\rangle =\tau^{1/8}F(x)$ ($\tau=|1-T/T_c|$, $x\sim 2n \tau$). Exact expressions are found for the function $F(x)$ and its asymptotic behavior at large and small $x$ is found. 
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     author = {R. Z. Bariev},
     title = {Correlation functions of the semi-infinite two-dimensional ising model},
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R. Z. Bariev. Correlation functions of the semi-infinite two-dimensional ising model. Teoretičeskaâ i matematičeskaâ fizika, Tome 40 (1979) no. 1, pp. 95-99. http://geodesic.mathdoc.fr/item/TMF_1979_40_1_a8/

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