I have a finite set of points, and plot the graph log(N) vs. log(e). I see a polygonal chain (the final slope, starting at some size of e, is zero, of course). If the set represents some physical property of a complex system, is there any interpretation for that kind of series of slopes? Any literature around? And, generally - if we do that kind of fractal analysis, what does the overall shape of logN vs log(e) tell us (if anything)?