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Topology of galaxy models

Eldering, B. (2006) Topology of galaxy models. Master's Thesis / Essay, Computing Science.

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Galaxy Redshift survey's have shown us that galaxies are not distributed evenly In our universe. They form a web-like structure, called the cosmic web. A large number of models exist to explain this structure. To compare these models one has to quantify the Information content hidden In the cosmic web predicted by the model. A new method to quantify this Information will be discussed: with the Beth numbers of alpha shapes. The alpha shape of a point set describes the Intuitive notion of the shape of that point set and can be defined as a subcomplex of the Delaunay triangulation of the point set. The Beth numbers count the number of components, tunnels and holes of the alpha shape. To apply this method to data sets representing galaxy distributions, an existing algoritm to compute Betti numbers of alpha shapes has been generalized to be able to handle periodic data. This new algorithm will be presented together with the results of applying It to galaxy distribution data sets.

Item Type: Thesis (Master's Thesis / Essay)
Degree programme: Computing Science
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 15 Feb 2018 07:30
Last Modified: 15 Feb 2018 07:30

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