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The Fractal Structure of the Universe

The fractal dimension of the spatial distribution of galaxies can be characterized by various statistical and topological methods, such as the Two-point Correlation Function, Perimeter-Area, Box Counting, and the Gamma Function. Here we develop a new way to get fractal information, that is the Metric Space Technique (MST). It allows multi­ple measures to be simultaneously applied for quantitative analysis of any type of structure distribution. All such distributions are considered to be elements of multi-parameter space, and the analysis is based on considering output functions, which characterize the distributions in multi-parameter space. We also develop both the Box Counting and Perimeter-Area method with the Hexagon Cell technique to calculate the fractal dimension of our samples. We compare results from Sloan Digital Sky Survey Data Release 5 with that of mock samples of ga­laxies from N-body simulation, nested-pairs simulations and random catalogs. By systematically studying hundreds of thousands of ga­laxies, we demonstrate that in the local universe there exists a fractal structure from MST. We also discuss the possible improvement for mock samples.


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WADE H MCCREE Additional Contributors Mdpi AG 18,9 x 0,4 x 24,6 cm 18,9 x 0,5 x 24,6 cm Kolektif 28 Şubat 2018 ROBERT H BORK 15 x 0,5 x 22 cm 18,9 x 0,2 x 24,6 cm 28 Ekim 2011 ERWIN N GRISWOLD 29 Ekim 2011 18,9 x 0,3 x 24,6 cm 3 Ocak 2017 18,9 x 0,6 x 24,6 cm 30 Ekim 2011 1 Ocak 2017
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Sürüm ayrıntıları
yazar Yongfeng Wu David J. Batuski Andre Khalil
isbn 10 3639036298
isbn 13 978-3639036299
Yayımcı VDM Verlag Dr. Mueller e.K.
Dilim İngilizce
Boyutlar ve boyutlar 15 x 0,5 x 22 cm
Tarafından yayınlandı The Fractal Structure of the Universe 10 Temmuz 2008

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