Results 11 to 20 of about 622 (56)

Voter model on Sierpinski fractals

, 2005
We investigate the ordering of voter model on fractal lattices: Sierpinski Carpets and Sierpinski Gasket. We obtain a power law ordering, similar to the behavior of one-dimensional system, regardless of fractal ramification.Comment: 7 pages, 5 EPS ...
Aleksiejuk, Bianconi, Carmona, Dornic, Frachenbourg, Gefen, Janusz A. Hołyst, Kohring, Krzysztof Suchecki, Stošic   +9 more
core   +2 more sources

Multifractality and intermediate statistics in quantum maps [PDF]

, 2007
We study multifractal properties of wave functions for a one-parameter family of quantum maps displaying the whole range of spectral statistics intermediate between integrable and chaotic statistics.
B. Georgeot, F. Haake, J. Martin, O. Giraud   +3 more
core   +3 more sources

Decomposing Intraday Dependence in Currency Markets: Evidence from the AUD/USD Spot Market

, 2004
The local Hurst exponent, a measure employed to detect the presence of dependence in a time series, may also be used to investigate the source of intraday variation observed in the returns in foreign exchange markets.
Abry, Ambrose, Andersen, Barkoulas, Batten, Batten, Batten, Bollerslev, Bollerslev, Cajueiro, Cajueiro, Cajueiro, Cajueiro, Cheung, Costa, Fama, Geweke, Goodhart, Goodhart, Goodhart, Grau-Carles, Hosking, Hosoya, Hurst, Lo, Lyons, Mandelbrot, Mandelbrot, Mandelbrot, Mandelbrot, Mandelbrot, Matos, Muller, Opong, Teverovsky, Tucker, Van De Gucht   +36 more
core   +2 more sources

Pareto law of the expenditure of a person in convenience stores

, 2007
We study the statistical laws of the expenditure of a person in convenience stores by analysing around 100 million receipts. The density function of expenditure exhibits a fat tail that follows a power law.
Anderson, Aoyama, Deschatres, Dragulescu, Dragulescu, Lux, Mantegna, Masahiro Toriyama, Matia, Misako Takayasu, Mizuno, Mizuno, Okuyama, Plerou, Stanley, Takao Terano, Takayuki Mizuno   +16 more
core   +1 more source

Stochastic models which separate fractal dimension and Hurst effect [PDF]

, 2001
Fractal behavior and long-range dependence have been observed in an astonishing number of physical systems. Either phenomenon has been modeled by self-similar random functions, thereby implying a linear relationship between fractal dimension, a measure ...
Constantine A. G., Gneiting T., Hurst H. E., Martin Schlather, Schlather M., Taylor C. C., Tilmann Gneiting, Wood A. T. A.   +7 more
core   +2 more sources

Hausdorff dimension of repellors in low sensitive systems

, 2000
Methods to estimate the Hausdorff dimension of invariant sets of scattering systems are presented. Based on the levels' hierarchical structure of the time delay function, these techniques can be used in systems whose future-invariant-set codimensions are
A.E. Motter, Bleher, Chen, Martı́, Nusse, Ott, P.S. Letelier, Sandau   +7 more
core   +2 more sources

Generalized dimensions of Feigenbaum's attractor from renormalization-group functional equations [PDF]

, 2002
A method is suggested for the computation of the generalized dimensions of fractal attractors at the period-doubling transition to chaos. The approach is based on an eigenvalue problem formulated in terms of functional equations, with a coefficient ...
Kuznetsov, S. P., Osbaldestin, A. H.
core   +3 more sources

Conformal Curves on $WO_3$ Surface

, 2007
We have studied the iso-height lines on the $\mathrm{WO_3}$ surface as a physical candidate for conformally invariant curves. We have shown that these lines are conformally invariant with the same statistics of domain walls in the critical Ising model ...
A. A. Saberi, A. L. Barabási, C. G. Granqvist, M. A. Rajabpour, S. Rouhani, S. Smirnov   +5 more
core   +1 more source

Asymptotic function for multi-growth surfaces using power-law noise

, 2002
Numerical simulations are used to investigate the multiaffine exponent $\alpha_q$ and multi-growth exponent $\beta_q$ of ballistic deposition growth for noise obeying a power-law distribution.
A.-L. Barabási, A.-L. Barabási, A.-L. Barabási, C.-H. Lam, E. Ben-Jacob, F. Family, H. Honjo, H. Honjo, H. Katsuragi, Haruo Honjo, Hiroaki Katsuragi, J. Krug, J. Wakita, M. Kardar, M. Myllys, M. Myllys, M.A. Rubio, S.F. Edwards, S.V. Buldyrev, S.V. Buldyrev, T. Nagatani, V.K. Horváth, V.K. Horváth, Y.-C. Zhang, Y.-C. Zhang, Z. Csahok´   +25 more
core   +1 more source

Mixmaster chaos [PDF]

, 2000
The significant discussion about the possible chaotic behavior of the mixmaster cosmological model due to Cornish and Levin [J.N. Cornish and J.J. Levin, Phys. Rev. Lett. 78 (1997) 998; Phys. Rev. D 55 (1997) 7489] is revisited.
A.E Motter, Belinskii, Berger, Berger, Chernoff, Contopoulos, Cornish, Cornish, Demaret, Farmer, Holmes, Misner, Ott, P.S Letelier, Press, Sweet, Szydlowski, Szydlowski, Troll   +18 more
core   +3 more sources