New Statistical Methods to Analyze the SDSS DR5 Galaxy Distribution

Mathematics – Logic

Scientific paper

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Scientific paper

The large-scale distribution of the galaxies can be characterized by various statistical and topological methods, but commonly used ones often have large uncertainties. Our new method is a combination of The Metric Space Technique and Rhombic Dodecahedron cell method, we call it MSRD method. 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 many-parameter space, and the analysis is based on considering a sample's output functions, which characterize the distributions in multi-parameter space. We use several slices of a volume of space containing many newly measured galaxies from SDSS DR5. By systematically studying hundreds of thousands of galaxies, we construct a comprehensive map of the local Universe, which allows us to measure some of the fundamental parameters that define the large-scale structure in the cosmos. We compare results with that of mock samples of galaxies from large-scale structure model simulations.

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