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I want to generate a "nonlinear" random spatial field in the sense that the autocorrelation function in function of the lag/distance $h$, $\rho(h)$, should be not equal to the $R(h)$ coefficient that is $R(h) = \sqrt{1-exp(-2I(h))}$, where $I(h)$ is the mutual information in function of the lag/distance h. Any suggestions?

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