Fractal dimension as a measure of the scale of homogeneity

@article{Yadav2010FractalDA,
  title={Fractal dimension as a measure of the scale of homogeneity},
  author={J. Yadav and J. S. Bagla and Nishikanta Khandai},
  journal={Monthly Notices of the Royal Astronomical Society},
  year={2010},
  volume={405},
  pages={2009-2015}
}
  • J. Yadav, J. S. Bagla, Nishikanta Khandai
  • Published 2010
  • Physics
  • Monthly Notices of the Royal Astronomical Society
  • In the multifractal analysis of the large-scale matter distribution, the scale of the transition to homogeneity is defined as the scale above which the fractal dimension (Dq) of the underlying point distribution is equal to the ambient dimension (D) of the space in which points are distributed. With the finite sized weakly clustered distribution of tracers obtained from galaxy redshift surveys it is difficult to achieve this equality. Recently Bagla et al. have defined the scale of homogeneity… CONTINUE READING
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    References

    SHOWING 1-10 OF 53 REFERENCES
    Fractal dimensions of a weakly clustered distribution and the scale of homogeneity
    • 32
    • PDF
    The scale of homogeneity of the galaxy distribution in SDSS DR6
    • 78
    • PDF
    Scaling in the Universe
    • 57
    • PDF
    Searching for the scale of homogeneity
    • 40
    • PDF
    A 120-Mpc periodicity in the three-dimensional distribution of galaxy superclusters
    • 126
    • PDF
    Evolution of galaxy clustering
    • 51
    • PDF