All Figures

$\begin{figure} \par\includegraphics[height=5.55cm,width=7.5cm,clip]{5581fig1.eps}\end{figure}$ Figure 1: The mean two-point correlation function estimated for non-correlated or weakly correlated fields: pure Gaussian, pure log-normal and, mixed field with $\alpha _0 \sim 10^{-3}$ .
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In the text

$\begin{figure} \par\includegraphics[height=5.55cm,width=7.5cm,clip]{5581fig2.eps}\end{figure}$ Figure 2: The two-point correlation function computed for $2\sigma$ density peaks in both a pure Gaussian and mixed context ( $\alpha _0 \sim 10^{-3}$ ). For this estimation, we used: $M^{\rm Gaus}(\alpha _0) =0$ ; $M^{\rm Exp}(\alpha _0) =\alpha _0$ ; $M^{\rm Max}(\alpha_0) =\alpha_0\left( 3 \sqrt{\frac{\pi}{2}}-1\right)$ ; $M^{Xi^2}(\alpha _0) =2\alpha _0$ and $M^{\rm LN}(\alpha_0) = \alpha_0 \left( \frac{e^2}{2}-1\right)$ .
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In the text

$\begin{figure} \par\includegraphics[height=5.45cm,width=7.55cm,clip]{5581fig3a.e... ...mm} \includegraphics[height=5.45cm,width=7.55cm,clip]{5581fig3b.eps}\end{figure}$ Figure 3: The behavior of the higher order factor, $C_{\eta }^{\rm NG}$ , for a fixed mean correlation ( $\xi _r \sim 1$ ). The curves in A) show the factor estimated for third-order correlation, $C_{\eta }^{3}$ , fourth, $C_{\eta }^{4}$ , and fifth, $C_{\eta }^{5}$ . In B) the sixth-order factor, $C_{\eta }^{6}$ , is also plotted.
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In the text

$\begin{figure} \par\includegraphics[height=5.45cm,width=7.1cm,clip]{5581fig4.eps}\end{figure}$ Figure 4: The behavior of the two-point correlation function is shown for three estimated cases: a pure Gaussian, $\xi _{\eta }^{\rm Gauss}$ (lower curve); a mixed approximated solution, $\xi _{\eta }^{\rm Mix}$ with $\alpha _0 \sim 3$ $\times$ 10^-3 (mid curve); and for the complete non-Gaussian solution, $\xi _{\eta }^{\rm Mix} + C_{\eta }^{\rm NG}(\xi _r)$ , estimated for a PDF of the type: (Gauss + Exp) with $\alpha _0 \sim 3$ $\times$ 10^-3
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In the text

$\begin{figure} \par\includegraphics[height=5.55cm,width=7.5cm,clip]{5581fig1.eps}\end{figure}$	Figure 1: The mean two-point correlation function estimated for non-correlated or weakly correlated fields: pure Gaussian, pure log-normal and, mixed field with $\alpha _0 \sim 10^{-3}$ .
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$\begin{figure} \par\includegraphics[height=5.45cm,width=7.55cm,clip]{5581fig3a.e... ...mm} \includegraphics[height=5.45cm,width=7.55cm,clip]{5581fig3b.eps}\end{figure}$	Figure 3: The behavior of the higher order factor, $C_{\eta }^{\rm NG}$ , for a fixed mean correlation ( $\xi _r \sim 1$ ). The curves in A) show the factor estimated for third-order correlation, $C_{\eta }^{3}$ , fourth, $C_{\eta }^{4}$ , and fifth, $C_{\eta }^{5}$ . In B) the sixth-order factor, $C_{\eta }^{6}$ , is also plotted.
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