Scaling, fractals, and nonlinear variability in geophysics


  • Anonymous


Scaling notions are associated with power law spectra, lack of characteristic scales over wide ranges, and the appearance of fractal dimensions and structures. More precisely, a system is said to be scaling (or scale invariant) over a range if the small- and large-scale structures are related by a scale-changing operation that involves only the scale ratio. These characteristics are common in many areas of geophysics, and when considered under the general rubric of nonlinear variability, constitute a central and indeed unifying aspect of geophysical systems. It was therefore natural to confront theories and experiments on scaling behavior of geophysical fields.