Results 181 to 190 of about 14,770 (221)
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Fractals, 1996
The results of the extensive numerical simulations of the Dielectric Breakdown Model (DBM) with noise reduction on the hexagonal lattice are presented. Seventy-five clusters grown under different boundary conditions consisting of 16 000 particles on the lattice 1001×1001 were generated.
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The results of the extensive numerical simulations of the Dielectric Breakdown Model (DBM) with noise reduction on the hexagonal lattice are presented. Seventy-five clusters grown under different boundary conditions consisting of 16 000 particles on the lattice 1001×1001 were generated.
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Multifractional Processes in Finance
SSRN Electronic Journal, 2013There is a growing consensus that fundamental financial theory based on the assumption that markets are complete is not sustainable when financial markets become increasingly complex. Traditional models fail to capture many of the stylized facts and biases identified by recent financial developments that have sought to explain financial prices when ...
BIANCHI, Sergio, PIANESE, Augusto
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Consistent scaling of multifractal measures: Multifractal spatial correlations
Physical Review E, 1993There are a number of apparently disparate problems in multifractal scaling whose solutions have remained unclear, ranging from rather pathological cases where the standard Legendre transformations do not produce effective measures for the H\"older exponent and Hausdorff-Besicovitch dimension to the problem of describing the scaling of point-point ...
, Platt, , Family
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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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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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