Scinovex
erratum Open AccessTop 1% cited

Erratum: Fractal measures and their singularities: The characterization of strange sets [Phys. Rev. A<i>33</i>, 1141 (1986)]

Physical review. A, General physics · 1986 · Vol. 34(2) · pp. 1601–1601
Thomas C. HalseyMogens H. JensenLeo P. KadanoffItamar ProcacciaBoris I. Shraiman

Abstract

The concept of f versus a used in this paper was ascribed to Ref. 8, in which it was used in a study of aggregation ki- netics. The identical idea was earlier described by Frisch and Parisi, who developed the formalism in much the same way as we did in the introductory section of our paper. In this context, the reader might also be interested in the work of Benzi, Paladin, Parisi, and Vulpiani, who discussed examples complementary to our own, i.e. , well-developed turbulence and chaotic attractors. A key idea, the continuity of f (.a), was quite evident in these references. We would like to thank Giorgio Parisi for helpful discussions.

Complex Systems and Time Series AnalysisChaos control and synchronizationFractal and DNA sequence analysisGravitational singularityFractalFormalism (music)ScalingUniversality (dynamical systems)PhysicsTorusSingularityMathematical physicsStatistical physics

Funding

  • National Science Foundation
  • Minerva Foundation
  • Office of Science
  • Division of Materials Research
Citations
2,482
FWCI
398.26
field-weighted impact
References
21
Percentile
100%
vs. same field & year
Citations per year
Cited by
The large deviation approach to statistical mechanics
Physics Reports · 2009 · 1,861 citations
Pattern formation outside of equilibrium
Reviews of Modern Physics · 1993 · 7,669 citations
Fractal Dimension of Fractured Surfaces: A Universal Value?
Europhysics Letters (EPL) · 1990 · 399 citations
Chaos, fractional kinetics, and anomalous transport
Physics Reports · 2002 · 1,573 citations
The thermodynamics of fractals revisited with wavelets
Physica A Statistical Mechanics and its Applications · 1995 · 468 citations
Scale issues in hydrological modelling: A review
Hydrological Processes · 1995 · 1,842 citations
Scaling and percolation in the small-world network model
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics · 1999 · 1,199 citations
References
Diffusion-Limited Aggregation, a Kinetic Critical Phenomenon
Physical Review Letters · 1981 · 5,317 citations
On the multifractal nature of fully developed turbulence and chaotic systems
Journal of Physics A Mathematical and General · 1984 · 765 citations
Citation Network

How this paper connects to the literature. Drag to explore, click any node to open that paper.