Approximate Scale-Invariant Random Fields: Review and Current Developments

O. I. Yordanov

A chapter in Mathematical Modeling, Simulation, Visualization and e-Learning, 2008, pp 253-267 from Springer

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.

Keywords: Fractal Dimension; Spectral Density Function; Spectral Exponent; Entire Real Line; Spatial Morphology (search for similar items in EconPapers)
Date: 2008
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-74339-2_16

Ordering information: This item can be ordered from
http://www.springer.com/9783540743392

DOI: 10.1007/978-3-540-74339-2_16

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().