求教各位大侠关于分维的基本概念

heaventian

Fourier amplitudes of the initial surface, Hi(k), and subsurface, W i(k), loads were generated so that their power spectra mimics that of actual topography.
For this we used a power law relationship of amplitude to wave number k [Mandelbrot, 1983] with fractal dimension
2.5, following the ‘‘spectral synthesis’’ method of Peitgen and Saupe [1988]. A fractal dimension of 2.5 is compatible
with values obtained for actual topography [Turcotte, 1997].


请教下各位大侠： a power law relationship of amplitude to wave number k [Mandelbrot, 1983] with fractal dimension
2.5

是否就是指
amplitude A=wave number k^2.5 ,即
A=k^2.5?
但是这样明显不对，应该是k小时，A大才对。请问这句话该怎么理解？该怎么构造A关于k的函数？
谢谢！