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Multi-fractal analysis and lacunarity spectrum of the dark matter haloes in the SDSS-DR7

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  • Chacón-Cardona, C.A.
  • Casas-Miranda, R.A.
  • Muñoz-Cuartas, J.C.

Abstract

The dark matter halo distribution of the nearby universe is used to study the fractal behaviour in the proximate universe. The data, which is based on four volume-limited galaxy samples was obtained by Muñoz-Cuartas and Mueller (2012) from the Seventh Data Release of the Sloan Digital Sky Survey (SDSS-DR7). In order to know the fractal behaviour of the observed universe, from the initial sample which contains 412,468 galaxies and 339,505 dark matter haloes were used as input for the fractal calculations. Using this data we use the sliding-window technique for the dark matter distribution and compute the multi-fractal dimension and the lacunarity spectrum and use it to study its dependence on radial distance in every sample.

Suggested Citation

  • Chacón-Cardona, C.A. & Casas-Miranda, R.A. & Muñoz-Cuartas, J.C., 2016. "Multi-fractal analysis and lacunarity spectrum of the dark matter haloes in the SDSS-DR7," Chaos, Solitons & Fractals, Elsevier, vol. 82(C), pages 22-33.
    • Handle: RePEc:eee:chsofr:v:82:y:2016:i:c:p:22-33
    DOI: 10.1016/j.chaos.2015.10.029
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    References listed on IDEAS

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    1. Nakamichi, Akika & Morikawa, Masahiro, 2004. "Is galaxy distribution non-extensive and non-Gaussian?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 215-233.
    2. Coleman, Paul H. & Pietronero, Luciano, 1992. "The fractal nature of the universe," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 185(1), pages 45-55.
    3. Volker Springel & Simon D. M. White & Adrian Jenkins & Carlos S. Frenk & Naoki Yoshida & Liang Gao & Julio Navarro & Robert Thacker & Darren Croton & John Helly & John A. Peacock & Shaun Cole & Peter , 2005. "Simulations of the formation, evolution and clustering of galaxies and quasars," Nature, Nature, vol. 435(7042), pages 629-636, June.
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    Cited by:

    1. García-Farieta, J.E. & Casas-Miranda, R.A., 2018. "Effect of observational holes in fractal analysis of galaxy survey masks," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 128-137.

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