Results 11 to 20 of about 11,601 (226)
Dynamical multifractal zeta-functions, multifractal pressure and fine multifractal spectra [PDF]
Journal d'Analyse Mathématique, 2017 41 pages.
Olsen, Lars Ole Ronnow
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Multifractal spectra and multifractal zeta-functions [PDF]
Aequationes mathematicae, 2016 49 ...
Mijovic, Vuksan, Olsen, Lars Ole Ronnow
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On a general concept of multifractality: Multifractal spectra for dimensions, entropies, and Lyapunov exponents. Multifractal rigidity [PDF]
Chaos: An Interdisciplinary Journal of Nonlinear Science, 1997 We introduce the mathematical concept of multifractality and describe various multifractal spectra for dynamical systems, including spectra for dimensions and spectra for entropies. We support the study by providing some physical motivation and describing several nontrivial examples.
Barreira, Luis +2 more
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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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Multifractal spectra and multifractal rigidity for horseshoes
Journal of Dynamical and Control Systems, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barreira, L., Pesin, Ya., Schmeling, J.
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Percolation on a multifractal [PDF]
Physical Review E, 2004 We build a multifractal object and use it as a support to study percolation. We identify some differences between percolation in a multifractal and in a regular lattice. We use many samples of finite size lattices and draw the histogram of percolating lattices against site occupation probability. Depending on a parameter characterizing the multifractal
Corso, G. +3 more
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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
wiley +1 more source
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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ISPRS International Journal of Geo-Information, 2021 Multifractal theory provides a reliable method for the scientific quantification of the geomorphological features of basins. However, most of the existing research has investigated small and medium-sized basins rather than complex and large basins.
Zilong Qin, Jinxin Wang, Yan Lu
doaj +1 more source
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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