Are galaxy distributions scale invariant ? A perspective from dynamical systems theory

  title={Are galaxy distributions scale invariant ? A perspective from dynamical systems theory},
  author={Joseph L. McCauley},
Unless there is evidence for fractal scaling with a single exponent over distances .1 ≤ r ≤ 100hMpc then the widely accepted notion of scale invariance of the correlation integral for .1 ≤ r ≤ 10hMpc must be questioned. The attempt to extract a scaling exponent ν from the correlation integral n(r) by plotting log(n(r)) vs. log(r) is unreliable unless the underlying point set is approximately monofractal. The extraction of a spectrum of generalized dimensions νq from a plot of the correlation… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 34 references

Nonlinear Galaxy Clustering

B.J.T. Jones
The Renaissance of General Relativity and Cosmology (G.F.R. Ellis, A. Lanza & J. Miller, eds.), Cambridge University Press, Cambridge • 1996
View 11 Excerpts
Highly Influenced


U. Frisch
The Legacy of A.N. Kolmogorov, Cambridge University Press, Cambridge • 1995
View 11 Excerpts
Highly Influenced


B.J.T. Jones
Coles & V.J. Martinez, Mon. Not. R. Astron. Soc. 259 • 1992
View 5 Excerpts
Highly Influenced


T. C. Halsey, M. H. Jensen, L. P. Kadanoff
Procaccia & B.I. Shraiman, Phys. Rev. A33 • 1986
View 18 Excerpts
Highly Influenced

Fractal Geometry of Nature

View 6 Excerpts
Highly Influenced

How Nature Works

P. Bak
The Science of SOC, Springer Verlag, Berlin • 1996
View 9 Excerpts
Highly Influenced


A. Crisanti, M. H. Jensen
Vulpiani & G. Paladin, Phys. Rev. A46 • 1992
View 9 Excerpts
Highly Influenced


J. A. Glazier
Gunaratne & A. Libchaber, Phys. Rev. A37 • 1988
View 3 Excerpts
Highly Influenced

Mapping, Measuring and Modelling the Universe (San Francisco

V. J. Martinez, M. J. Pons
Astron. Soc. of the Pacific, • 1996
View 1 Excerpt

Fractal Concepts in Surface Growth

A.-B. Barabasi, H. E Stanley
View 2 Excerpts

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