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Multifractality of the Lorenz system
Physical Review E, 1996We use the unstable periodic orbit expansion of the dynamical \ensuremath{\zeta} function to find the multifractal spectra f(\ensuremath{\alpha}) and g(\ensuremath{\Lambda}) for the Lorenz system at (r,\ensuremath{\sigma},b)=(28,10,8/3) and also for an incomplete, generalized Baker's map with the topology of the Lorenz system. \textcopyright{} 1996 The
, Wiklund, , Elgin
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Understanding the source of multifractality in financial markets
Physica A: Statistical Mechanics and Its Applications, 2012 Understanding the source of multifractality in financial ...
Józef Barunik, Tomaso Aste
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Screening in multifractal growth
Physical Review A, 1989For any multifractal growth process we calculate how the probability of advance of a fixed site on the boundary of the structure changes as the fractal increases in size. We are then able to find expressions for the dimension of the active zone of the fractal and the distribution of ages of points from which growth occurs in terms of the scaling ...
, Ball, , Blunt
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Multifractality of growing surfaces
Physical Review A, 1992We have carried out large-scale computer simulations of experimentally motivated (1+1)-dimensional models of kinetic surface roughening with power-law-distributed amplitudes of uncorrelated noise. The appropriately normalized qth-order correlation function of the height differences c q (x)= shows strong multifractal scaling behavior up to a crossover ...
, Barabási +5 more
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From Multifractal Measures to Multifractal Wavelet Series
Journal of Fourier Analysis and Applications, 2005Given a positive locally finite Borel measure µ on R, a natural way to construct multifractal wavelet series $F_{\mu}=\sum_{j\ge0,k\in Z}d_{j,k}\psi_{j,k}(x)$ is to set $\mid d_{j,k}\mid ...
Julien Barral, Stéphane Seuret
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Multifractional Stochastic Fields
2013Fractional Brownian Motion (FBM) is a very classical continuous self-similar Gaussian field with stationary increments. In 1940, some works of Kolmogorov on turbulence led him to introduce this quite natural extension of Brownian Motion, which, in contrast with the latter, has correlated increments. However, the denomination FBM is due to a very famous
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Sources of multifractality of the brain rs-fMRI signal
Chaos, Solitons and Fractals, 2022Bharat Biswal
exaly
The impact of COVID-19 on shipping freights: asymmetric multifractality analysis
Maritime Policy and Management, 2023Chi Wei Su
exaly