{"product_id":"the-fractal-structure-of-the-universe-9783639036299","title":"The Fractal Structure of the Universe","description":"\u003cp\u003e • Author(s): Yongfeng Wu | David J. Batuski | Andre Khalil\u003cbr\u003e • Publisher: VDM Verlag Dr. Mueller E.K.\u003cbr\u003e • Publisher Imprint: VDM Verlag Dr. Mueller E.K.\u003cbr\u003e • BISAC: Physics - General\u003c\/p\u003e\u003cp\u003eThe 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 multi-ple 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 ga-laxies from N-body simulation, nested-pairs simulations and random catalogs. By systematically studying hundreds of thousands of ga-laxies, we demonstrate that in the local universe there exists a fractal structure from MST. We also discuss the possible improvement for mock samples.\u003c\/p\u003e","brand":"VDM Verlag Dr. Mueller E.K.","offers":[{"title":"Paperback","offer_id":47780954931351,"sku":"9783639036299","price":4510.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783639036299.webp?v=1778049536","url":"https:\/\/atlanticbooks.com\/products\/the-fractal-structure-of-the-universe-9783639036299","provider":"Atlantic Books","version":"1.0","type":"link"}