Geodesic
The Simulation of a Class of Random Fields
Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 2, pp. 425-427 
M. D. Shklover. The Simulation of a Class of Random Fields. Teoriâ veroâtnostej i ee primeneniâ, Tome 18 (1973) no. 2, pp. 425-427. http://geodesic.mathdoc.fr/item/TVP_1973_18_2_a28/
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     author = {M. D. Shklover},
     title = {The {Simulation} of a {Class} of {Random} {Fields}},
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     volume = {18},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1973_18_2_a28/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A random field $\xi_x(\omega)(\mathbf{x}\in T^2)$ where $T^2$ is the two-dimension lattice, is called weakly dependent if, for every $\mathbf{x}=(x_1,x_2)\in T^2$, the random variable $\xi_x(\omega)$ depends only on the random variables $\xi_y(\omega)$ at points $\mathbf{y}=(x_1-1, x_2)$, $(x_1+1, x_2)$, $(x_1, x_2-1)$, $(x_1, x_2+1)$. In this paper, a method of simulation of weakly dependent Gaussian random fields is proposed.