Fractal dimension as a measure of the scale of homogeneity

  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},
  • 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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