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

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

Chaos, Solitons & Fractals, 2016, vol. 82, issue C, 22-33

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.

Keywords: Fractals; Cosmology; Statistical physics (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:82:y:2016:i:c:p:22-33

DOI: 10.1016/j.chaos.2015.10.029

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