Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Biomathematics --- Mathematics in nature --- Ecology --- Aquatic sciences --- Fractals --- Multifractals

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

The dynamics of complex systems can clarify the creation of structures in Nature. This creation is driven by the collective interaction of constitutive elements of the system. Such interactions are frequently nonlinear and are directly responsible for the lack of prediction in the evolution process. The self-organization accompanying these processes occurs all around us and is constantly being rediscovered, under the guise of a new jargon, in apparently unrelated disciplines. This volume offers unique perspectives on aspects of fractals and complexity and, through the examination of compleme

Fractals. --- Multifractals. --- Fractals --- Fractal geometry --- Fractal sets --- Geometry, Fractal --- Sets, Fractal --- Sets of fractional dimension --- Dimension theory (Topology) --- Multifractals --- lemac

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Certain noises, many aspects of turbulence, and almost all aspects of finance exhibit a level of temporal and spatial variability whose "wildness" impressed itself vividly upon the author, Benoit Mandelbrot, in the early 1960's. He soon realized that those phenomena cannot be described by simply adapting the statistical techniques of earlier physics, or even extending those techniques slightly. It appeared that the study of finance and turbulence could not move forward without the recognition that those phenomena represented a new second stage of indeterminism. Altogether new mathematical tools were needed. The papers in this Selecta volume reflect that realization and the work that Dr. Mandelbrot did toward the development of those new tools.

Multifractals --- Electronic noise. --- Multifractales --- Bruit électronique --- Electronic noise --- Bruit électronique --- Topology. --- Analysis situs --- Position analysis --- Rubber-sheet geometry --- Geometry --- Polyhedra --- Set theory --- Algebras, Linear --- Multifractals. --- Noise, Electronic --- Signal theory (Telecommunication) --- Electric noise --- Fractals