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fractal correlation

См. также в других словарях:

  • Correlation dimension — In chaos theory, the correlation dimension (denoted by ν) is a measure of the dimensionality of the space occupied by a set of random points, often referred to as a type of fractal dimension.[1][2][3] For example, if we have a set of random… …   Wikipedia

  • Fractal time — There are a number of definitions of the notion of fractal time. The term was first mentioned by Benoît Mandelbrot [Mandelbrot, B. B. (1982): The Fractal Geometry of Nature . W.H. Freeman, San Francisco.] , who used it to refer to statistically… …   Wikipedia

  • Fractal dimension — In fractal geometry, the fractal dimension, D , is a statistical quantity that gives an indication of how completely a fractal appears to fill space, as one zooms down to finer and finer scales. There are many specific definitions of fractal… …   Wikipedia

  • correlation dimension — An estimate of the fractal dimension which measures the probability that two points chosen at random will be within a certain distance of each other, and examines how this probability changes as the distance is increased. white noise will fill… …   Financial and business terms

  • Fluorescence correlation spectroscopy — (FCS) is a common technique used by physicists, chemists, and biologists to experimentally characterize the dynamics of fluorescent species (e.g. single fluorescent dye molecules in nanostructured materials, autofluorescent proteins in living… …   Wikipedia

  • Dimension fractale — Mesure de la dimension fractale de la côte de Grande Bretagne En géométrie fractale, la dimension fractale, D, est une grandeur qui a vocation à traduire la façon qu a un ensemble fractal de remplir l espace, à toutes les échelles. Dans le cas… …   Wikipédia en Français

  • Ising model — The Ising model, named after the physicist Ernst Ising, is a mathematical model in statistical mechanics. It has since been used to model diverse phenomena in which bits of information, interacting in pairs, produce collectiveeffects.Definition… …   Wikipedia

  • Minkowski–Bouligand dimension — Estimating the box counting dimension of the coast of Great Britain In fractal geometry, the Minkowski–Bouligand dimension, also known as Minkowski dimension or box counting dimension, is a way of determining the fractal dimension of a set S in a …   Wikipedia

  • Minkowski-Bouligand dimension — In fractal geometry, the Minkowski Bouligand dimension, also known as Minkowski dimension or box counting dimension, is a way of determining the fractal dimension of a set S in a Euclidean space R^n, or more generally in a metric space ( X , d ) …   Wikipedia

  • Scale invariance — In physics and mathematics, scale invariance is a feature of objects or laws that do not change if length scales (or energy scales) are multiplied by a common factor. The technical term for this transformation is a dilatation (also known as… …   Wikipedia

  • Critical phenomena — In physics, critical phenomena is the collective name associated with the physics of critical points. Most of them stem from the divergence of the correlation length, but also the dynamics slows down. Critical phenomena include scaling relations… …   Wikipedia

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