{"product_id":"the-fractal-structure-of-the-yongfeng-wu-9783639036299","title":"The Fractal Structure of the Universe","description":"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 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Yongfeng Wu,David J. Batuski,Andre Khalil\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3639036298\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783639036299\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e VDM Verlag Dr. Mueller E.K.\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/10\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 80\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.26lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.17d","brand":"Yongfeng Wu","offers":[{"title":"Paperback","offer_id":48454041993471,"sku":"9783639036299","price":52.92,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_b00c0663-9e4f-419a-b035-6f55c99e6dde.jpg?v=1777303834","url":"https:\/\/www.whiterainbookhouse.com\/products\/the-fractal-structure-of-the-yongfeng-wu-9783639036299","provider":"WR Book House","version":"1.0","type":"link"}