Results 31 to 40 of about 11,601 (226)
Multifractal Analysis on the Sphere [PDF]
, 2008 A new generation of instruments in astrophysics or vision now provide spherical data. These spherical data may present a self- similarity property while no spherical analysis tool is yet available to characterize this property. In this paper we present a first numerical study of the extension of multifractal analysis onto the sphere using spherical ...
Koenig, Emilie, Chainais, Pierre
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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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, 2023 An efficient stability analysis contributes to the improvement of machining stability and chatter suppression. First, this paper presents three chatter detection approaches that were developed on the application of wavelet transforms.
Wang, Y +4 more
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Tool Embodiment Is Reflected in Movement Multifractal Nonlinearity
Fractal and Fractional, 2022 Recent advances in neuroscience have linked dynamical systems theory to cognition. The main contention is that extended cognition relies on a unitary brain-body-tool system showing the expected signatures of interaction-dominance reflected in a ...
Yvan Pratviel +3 more
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New Journal of Physics, 2015 Many complex systems generate multifractal time series which are long-range cross-correlated. Numerous methods have been proposed to characterize the multifractal nature of these long-range cross correlations.
Wen-Jie Xie +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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Multifractal Interpolation of Universal Multifractals
, 1997 LaTeX, 9 pages, no ...
Bar'yahtar, V. G. +3 more
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Generalized energy inequalities and higher multifractal moments
, 2014 We present a class of generalized energy inequalities and indicate their use in investigating higher multifractal moments, in particular Lq-dimensions of images of measures under Brownian processes, Lq-dimensions of almost self-affine measures, and moments
Falconer, Kenneth John, Kenneth Falconer
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Fractal and FractionalThis study investigates the multifractal properties of daily returns of the Standard and Poor’s 500 Index (SPX), the Dow Jones Industrial Average (DJI), and the Nasdaq Composite Index (IXIC), the three main indices representing the U.S.
Chenyu Han, Yingying Xu
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Generalized binomial multiplicative cascade processes and asymmetrical multifractal distributions [PDF]
Nonlinear Processes in Geophysics, 2014 The concepts and models of multifractals have been employed in various fields in the geosciences to characterize singular fields caused by nonlinear geoprocesses.
Q. Cheng
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