Appendix 1—figure 7. Comparison of simulation and theory.

(A) Variance of EE, EI, and II covariances as a function of distance. Darker dots are the results of the simulation. Lighter ones are the prediction of the discrete theory. (B) Variance of EE covariances as a function of distance (Equation (56) for variances). The lightest blue dots are the predictions of the discrete theory (${\mu }_a$ replaced by the discrete Fourier transform of Equation (52), taking into account Section 7), the medium blue line is the (0,2)-Padé prediction (${\mu }_a$ replaced by its Padé approximation Equation (53), taking into account Section 7), and the dark blue line is the higher order (1,2)-DLog-Padé prediction (${\mu }_a$ replaced by its Padé approximation Equation (53), using Equation (57), and taking into account Section 7). (C) Fitted slope of linear regions in panel B for different spectral bounds $R$ (light blue: discrete theory, medium blue: Padé approximation, dark blue: higher order Padé approximation).