Results 21 to 30 of about 622 (56)

Harmonic Measure and Winding of Conformally Invariant Curves

, 2002
The exact joint multifractal distribution for the scaling and winding of the electrostatic potential lines near any conformally invariant scaling curve is derived in two dimensions. Its spectrum f(alpha,lambda) gives the Hausdorff dimension of the points
A. Beurling, A. A. Belavin, B. Duplantier, B. Duplantier, B. Duplantier, B. Nienhuis, B. B. Mandelbrot, Bertrand Duplantier, G. F. Lawler, G. F. Lawler, G. F. Lawler, Ilia A. Binder, J. L. Cardy, J. L. Cardy, O. Schramm, V. G. Knizhnik   +15 more
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Ensemble averages and nonextensivity at the edge of chaos of one-dimensional maps

, 2004
Ensemble averages of the sensitivity to initial conditions $\xi(t)$ and the entropy production per unit time of a {\it new} family of one-dimensional dissipative maps, $x_{t+1}=1-ae^{-1/|x_t|^z}(z>0)$, and of the known logistic-like maps, $x_{t+1}=1-a ...
A. N. Kolmogorov, C. Tsallis, Constantino Tsallis, Garin F. J. Añaños, P. Cvitanović, R. C. Hilborn, Ya. Pesin, Ya. G. Sinai   +7 more
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A transfer matrix method for the analysis of fractal quantum potentials

, 2004
The scattering properties of quantum particles on fractal potentials at different stages of fractal growth are obtained by means of the transfer matrix method.
Chuprikov N L, Chuprikov N L, Ficker T, Francisco R Villatoro, Furlan W D, Javier F Urchueguía, Juan A Monsoriu, Kalotas T M, Kittel C, Liboff R, Mandelbrot B B, María J Marín, Pedro Fernández de Córdoba, Saavedra G, Sakurada Y, Szmulowicz F, Ziman J M   +16 more
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Fractal Weyl law for quantum fractal eigenstates

, 2007
The properties of the resonant Gamow states are studied numerically in the semiclassical limit for the quantum Chirikov standard map with absorption.
A. J. Lichtenberg, B. V. Chirikov, E. Ott, H. Weyl, L. D. Landau, M. Dimassi, M. Zworski, N. Moiseyev, P. Gaspard, S. Brin, S. Nonnenmacher   +10 more
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Nonequilibrium Probabilistic Dynamics of the Logistic Map at the Edge of Chaos

, 2002
We consider nonequilibrium probabilistic dynamics in logistic-like maps $x_{t+1}=1-a|x_t|^z$, $(z>1)$ at their chaos threshold: We first introduce many initial conditions within one among $W>>1$ intervals partitioning the phase space and focus on the ...
A. Upadhyaya, C. Tsallis, C. Tsallis, C. Tsallis, C. Tsallis, Constantino Tsallis, E. G. D. Cohen, E. M. F. Curado, E. M. F. Curado, E. M. F. Curado, Ernesto P. Borges, F. Baldovin, Garín F. J. Añaños, H. P. de Oliveira, I. Bediaga, M. Baranger, M. N. Barber, Paulo Murilo C. de Oliveira, T. Arimitsu   +18 more
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Fracturing the optimal paths

, 2009
Optimal paths play a fundamental role in numerous physical applications ranging from random polymers to brittle fracture, from the flow through porous media to information propagation.
Andrade Jr, J. S., Herrmann, H. J., Moreira, A. A., Oliveira, E. A.   +3 more
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The Fractality of the Hydrodynamic Modes of Diffusion

, 2000
Transport by normal diffusion can be decomposed into the so-called hydrodynamic modes which relax exponentially toward the equilibrium state. In chaotic systems with two degrees of freedom, the fine scale structure of these hydrodynamic modes is singular
Claus, I., Dorfman, J. R., Gaspard, P., Gilbert, T.   +3 more
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Random packing of regular polygons and star polygons on a flat two-dimensional surface

, 2014
Random packing of unoriented regular polygons and star polygons on a two-dimensional flat, continuous surface is studied numerically using random sequential adsorption algorithm.
Barbasz, Jakub, Cieśla, Michał
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Weyl law for fat fractals

, 2010
It has been conjectured that for a class of piecewise linear maps the closure of the set of images of the discontinuity has the structure of a fat fractal, that is, a fractal with positive measure.
Ignacio García-Mata, Marcos Saraceno, Marklof J, María E Spina, Nonnenmacher S   +4 more
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Wave scattering from self-affine surfaces

, 1999
Electromagnetic wave scattering from a perfectly reflecting self-affine surface is considered. Within the framework of the Kirchhoff approximation, we show that the scattering cross section can be exactly written as a function of the scattering angle via
A.A. Maradudin, A.G. Voronovich, B.B. Mandelbrot, C.J.R. Sheppard, D.L. Jaggard, D.L. Jordan, Damien Vandembroucq, E. Bouchaud, F. Plouraboué, Ingve Simonsen, J. A. Ogilvy, J. Chen, J.A. Sánchez-Gil, J.A. Sánchez-Gil, J.W.S. Rayleigh, M. Nieto-Vesperinas, M.K. Shepard, M.V. Berry, N. Lin, P. Beckmann, P. Meakin, P.E. McSharry, Stéphane Roux, Y-P Zhao   +23 more
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