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Fractional Randomness

  • Bruce J. West
  • Mauro Bologna
  • Paolo Grigolini
Chapter
  • 417 Downloads
Part of the Institute for Nonlinear Science book series (INLS)

Abstract

The equations describing the evolution of complex physical phenomena can be put into a number of categories. This separation depends on whether the changes in the physical observables are relatively slow, regular, and describable by simple analytic functions, or if the changes are rapid, irregular, and not predictable, and therefore describable by fractal functions. Historically this led to the two categories of dynamics: deterministic equations of motion and stochastic equations of motion. However, since the early 1960s it has become increasingly clear that these two categories are not mutually exclusive, so other ways to draw distinctions among phenomena have become more popular.

Keywords

Fractal Dimension Random Walk Fractional Brownian Motion Colored Noise Anomalous Diffusion 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag New York, Inc. 2003

Authors and Affiliations

  • Bruce J. West
    • 1
  • Mauro Bologna
    • 2
  • Paolo Grigolini
    • 2
  1. 1.Department of the Army, U.S. Army Research LaboratoryArmy Research OfficeResearch Triangle ParkUSA
  2. 2.Department of PhysicsUniversity of North TexasDentonUSA

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