Percolation, statistical topography, and transport in random media
MB Isichenko - Reviews of modern physics, 1992 - APS
A review of classical percolation theory is presented, with an emphasis on novel
applications to statistical topography, turbulent diffusion, and heterogeneous media …
applications to statistical topography, turbulent diffusion, and heterogeneous media …
Multifractal analysis of financial markets: A review
Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …
Universal scaling laws in fully developed turbulence
ZS She, E Leveque - Physical review letters, 1994 - APS
The inertial-range scaling laws of fully developed turbulence are described in terms of
scalings of a sequence of moment ratios of the energy dissipation field ε l coarse-grained at …
scalings of a sequence of moment ratios of the energy dissipation field ε l coarse-grained at …
Simple multifractal cascade model for fully developed turbulence
C Meneveau, KR Sreenivasan - Physical review letters, 1987 - APS
A simple model is presented for the energy-cascading process in the inertial range that fits
remarkably well the entire spectrum of scaling exponents for the dissipation field in fully …
remarkably well the entire spectrum of scaling exponents for the dissipation field in fully …
On the multifractal nature of fully developed turbulence and chaotic systems
It is generally argued that the energy dissipation of three-dimensional turbulent flow is
concentrated on a set with non-integer Hausdorff dimension. Recently, in order to explain …
concentrated on a set with non-integer Hausdorff dimension. Recently, in order to explain …
Multifractal phenomena in physics and chemistry
HE Stanley, P Meakin - Nature, 1988 - nature.com
Multifractal phenomena in physics and chemistry Page 1 NATURE VOL. 335 29 SEPTEMBER
1988 REVIEW ARTICLE 495 Multifractal phenomena in physics and chemistry H. Eugene …
1988 REVIEW ARTICLE 495 Multifractal phenomena in physics and chemistry H. Eugene …
Direct determination of the f (α) singularity spectrum and its application to fully developed turbulence
This paper focuses on a method proposed for determining f (α)(the singularity spectrum of a
multifractal) directly from experimental data, without first calculating the ''generalized …
multifractal) directly from experimental data, without first calculating the ''generalized …
Multifractality of self-affine fractals
AL Barabási, T Vicsek - Physical review A, 1991 - APS
The concept of multifractality is extended to self-affine fractals in order to provide a more
complete description of fractal surfaces. We show that for a class of iteratively constructed …
complete description of fractal surfaces. We show that for a class of iteratively constructed …
The Claude Bernard lecture, 1989-deterministic chaos: the science and the fiction
D Ruelle - Proceedings of the Royal Society of London …, 1990 - royalsocietypublishing.org
Under the name of chaos the mathematical ideas of differentiable dynamics have had a
profound impact on physics. Some success stories are discussed. Attention is also directed …
profound impact on physics. Some success stories are discussed. Attention is also directed …
The fractal structure of the universe
PH Coleman, L Pietronero - Physics Reports, 1992 - Elsevier
We re-evaluate the experimental data concerning the large scale structure of the universe
utilizing the theoretical methods of modern statistical mechanics. This allows us to test the …
utilizing the theoretical methods of modern statistical mechanics. This allows us to test the …