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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Synchronizations in Complex Systems Dynamics Through a Multifractal Procedure [PDF]
EntropyThe dynamics of complex systems often exhibit multifractal properties, where interactions across different scales influence their evolution. In this study, we apply the Multifractal Theory of Motion within the framework of scale relativity theory to ...
Vlad Ghizdovat +6 more
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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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The Cross-correlation Structure of Tehran Stock Exchange Indexes by Multifractal Detrended Fluctuation Analysis [PDF]
تحقیقات مالی, 2012 One of the latest approaches for analyzing the coupled time series is MF-DXA. This technique has been used in many disciplines such as finance. In this paper, we have analyzed Tehran Stock Exchange indexes by MF-DXA and have found a scaling behavior ...
Reza Tehrani +2 more
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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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The Role of Information in Managing Interactions from a Multifractal Perspective
Entropy, 2021 In the framework of the multifractal hydrodynamic model, the correlations informational entropy–cross-entropy manages attractive and repulsive interactions through a multifractal specific potential.
Maricel Agop +9 more
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Microbial characterization based on multifractal analysis of metagenomes
Frontiers in Cellular and Infection Microbiology, 2023 IntroductionThe species diversity of microbiomes is a cutting-edge concept in metagenomic research. In this study, we propose a multifractal analysis for metagenomic research.Method and ResultsFirstly, we visualized the chaotic game representation (CGR ...
Xian-hua Xie +5 more
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