Results 11 to 20 of about 3,881 (165)
Multifractal network generator [PDF]
Proceedings of the National Academy of Sciences, 2010 We introduce a new approach to constructing networks with realistic features. Our method, in spite of its conceptual simplicity (it has only two parameters) is capable of generating a wide variety of network types with prescribed statistical properties, e.g., with degree or clustering coefficient distributions of various, very different forms. In turn,
Palla, G., Lovasz, L., Vicsek, T.
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Dual multifractal spectra [PDF]
Physical Review E, 2004 The multifractal formalism characterizes the scaling properties of a physical density rho as a function of the distance L. To each singularity alpha of the field is attributed a fractal dimension for its support f(alpha). An alternative representation has been proposed by Jensen considering the distribution of distances associated to a fixed mass ...
Roux, S, Jensen, M.H.
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Topics in Cognitive Science, EarlyView., 2023 Abstract Fractal fluctuations are a core concept for inquiries into human behavior and cognition from a dynamic systems perspective. Here, we present a generalized variance method for multivariate detrended fluctuation analysis (mvDFA). The advantage of this extension is that it can be applied to multivariate time series and considers intercorrelation ...
Sebastian Wallot +5 more
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Abduction and Deduction in Dynamical Cognitive Science
Topics in Cognitive Science, EarlyView., 2023 Abstract This paper reviews the recent history of a subset of research in dynamical cognitive science, in particular that subset that allies itself with the sciences of complexity and casts cognitive systems as interaction dominant, noncomputational, and nonmodular. I look at this history in the light of C.S.
Anthony Chemero
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F1000Research, 2014 Multifractals have been applied to characterize complex communities in a spatial context. They were developed for nonlinear systems and are particularly suited to capture multiplicative processes observed in ecological systems. Multifractals characterize
Leonardo A. Saravia
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A Century of Turbulent Cascades and the Emergence of Multifractal Operators
Earth and Space Science, 2020 A century of cascades and three decades of multifractals have built up a truly interdisciplinary framework that has enabled a new approach and understanding of nonlinear phenomena, in particular, in geophysics.
Daniel Schertzer, Ioulia Tchiguirinskaia
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Multifractal random walk [PDF]
Physical Review E, 2001 We introduce a class of multifractal processes, referred to as Multifractal Random Walks (MRWs). To our knowledge, it is the first multifractal processes with continuous dilation invariance properties and stationary increments. MRWs are very attractive alternative processes to classical cascade-like multifractal models since they do not involve any ...
Bacry, Emmanuel, Delour, J., Muzy, J. F.
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Asymmetric Fractal Characteristics and Market Efficiency Analysis of Style Stock Indices
Entropy, 2022 As a typical complex system, the stock market has attracted the attention of scholars and investors to comprehensively understand its fractal characteristics and analyze its market efficiency.
Chao Xu +4 more
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Multifractal Variation Measures and Multifractal Density Theorems
Real Analysis Exchange, 2003 For \(E\subseteq {\mathbf R}^d, q, t\in {\mathbf R} \) and \(\delta >0\), \(\mathcal H_\mu^{q,t}\) and \(\mathcal P_\mu^{q,t}\) denote, respectively, the multifractal Hausdorff measure and multifractal packing measure introduced by Olsen and Peyrière.
Cole, J., Olsen, L.
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Dynamical multifractal zeta-functions, multifractal pressure and fine multifractal spectra [PDF]
Journal d'Analyse Mathématique, 2017 41 pages.
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