A multifractal system is a generalization of a fractal system in which a single exponent (the fractal dimension) is not enough to describe its dynamics;...

curve Pythagoras tree Weierstrass function Strange attractor Multifractal system L-system Fractal canopy Space-filling curve H tree Escape-time fractals...

fractalPages displaying short descriptions of redirect targets Multifractal system – System with multiple fractal dimensions Newton fractal – Boundary set...

FGN, thus, the exponents of their power spectra differ by 2. Multifractal system – System with multiple fractal dimensions Self-organized criticality –...

universe itself, is a fractal across a wide range of scales (see also: multifractal system). More generally, it relates to the usage or appearance of fractals...

2307/2159830. JSTOR 2159830. Falconer, Kenneth J. (2004-01-01). "One-sided multifractal analysis and points of non-differentiability of devil's staircases"....

Mandelbrot Competition – High school mathematics competition Multifractal system – System with multiple fractal dimensions Self-similarity – Whole of an...

{\displaystyle H(q)} is a non-linear function of q the time series is a multifractal system. In the above definition two separate requirements are mixed together...

{1}{2}})^{2}} on the unit interval, which is commonly used as an example of chaotic system.) The functions f and g are of the form z 2 + c {\displaystyle z^{2}+c}...

Goran (28 June 2019). An overview of the theory of complex dimensions and fractal zeta functions (PDF). Dubrovnik IX - Topology & Dynamical Systems 2019....

})^{n}f(t)d_{F}^{\alpha }t} Fractional calculus Fractional-order system Multifractal system Khalili Golmankhaneh, Alireza (2022). Fractal Calculus and its...

analysis. It also has application in related fields such as lacunarity and multifractal analysis. Theoretically, the intent of box counting is to quantify fractal...

Arimitsu, T. (2004). "The world according to Rényi: Thermodynamics of multifractal systems". Annals of Physics. 312 (1): 17–59. arXiv:cond-mat/0207707. Bibcode:2004AnPhy...

generating the attractor, or the fixed point, of any iterated function system (IFS). Starting with any point x0, successive iterations are formed as xk+1...

mappings of an iterated function system that produces the Sierpiński triangle. Ornstein and others describe a multifractal system, where instead of working in...

extensions. Financial risk Fractal Markov chain Modern portfolio theory Multifractal system "EFA Executive Committee 2023 | EFA - European Finance Association"...

639:mrw) "My reaction when", used in internet memes Multifractal random walk, a multifractal system model Magic, Ritual, and Witchcraft, a peer-reviewed...

studies of participation numbers obtained by exact diagonalization, multifractal properties, level statistics and many others. Especially fruitful is...

the purely empirical ETAS linear model. The basic assumption of this "Multifractal stress activated" model is that, at any place and time, the local failure...

expansions and recessions). A more recent example is the Markov switching multifractal model of Laurent E. Calvet and Adlai J. Fisher, which builds upon the...

Lyapunov fractal Mandelbrot set Menger sponge Minkowski–Bouligand dimension Multifractal analysis Olbers' paradox Perlin noise Power law Rectifiable curve Scale-free...

metric Fractal image compression Image differencing Metric tensor Multifractal system Drakopoulos, V.; Nikolaou, N. P. (December 2004). "Efficient computation...

{\displaystyle D={\frac {d\log L(k)}{d\log k}}.} Lyapunov dimension Multifractal dimensions: a special case of Rényi dimensions where scaling behaviour...

manifest local variations in fractal dimension, they are said to be multifractals. Examples of data sequences that exhibit local variations in p like...

the fine structure of turbulent flows, for his early advocacy of multifractal systems in modeling physical processes, and for his research on using transportation...

confinement, the use of supersymmetry in statistical classical systems, the introduction of multifractals in turbulence, the stochastic differential equation for...

Calvet, L. E. (1997). A multifractal model of asset returns. 3.2 The Binomial Measure is the Simplest Example of a Multifractal Except the trivial case...

analysis, including box counting, lacunarity analysis, mass methods, and multifractal analysis. A common feature of all types of fractal analysis is the need...

method for real option valuation Single-index model Markov switching multifractal Multiple factor models Damodaran, Aswath (31 January 2002). Investment...

Continuity". General Systems Yearbook. 6: 139–187. van Lawick van Pabst, Joost; Jense, Hans (2001). "Dynamic Terrain Generation Based on Multifractal Techniques"...