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Approximate Scale-Invariant Random Fields: Review and Current Developments

In: Mathematical Modeling, Simulation, Visualization and e-Learning

Author

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  • O. I. Yordanov

Abstract

During the last several decades, a great variety of irregular timedependent phenomena and spatial morphologies have been shown to possess stochastic scale-invariance. This led to the development of models based on random fractal processes and, in general, (multi-dimensional) random fractal fields. In contrast to the ideal fractals, commonly assumed to be “scale-free” (reflected for example in the assumption of a simple power-law type correlation functions), the real scale-invariant hierarchies have a finite extend, limited by both a smallest and a largest scales.

Suggested Citation

  • O. I. Yordanov, 2008. "Approximate Scale-Invariant Random Fields: Review and Current Developments," Springer Books, in: Dialla Konaté (ed.), Mathematical Modeling, Simulation, Visualization and e-Learning, pages 253-267, Springer.
  • Handle: RePEc:spr:sprchp:978-3-540-74339-2_16
    DOI: 10.1007/978-3-540-74339-2_16
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