Probing the Large-Scale Homogeneity of the Universe with Galaxy Redshift Surveys

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dc.creatorSabiu, Cristiano
dc.date2007-03-19
dc.date.accessioned2026-07-07T07:52:25Z
dc.date.available2026-07-07T07:52:25Z
dc.descriptionModern cosmological observations clearly reveal that the universe contains a hierarchy of clustering. However, recent surveys show a transition to homogeneity on large scales. The exact scale at which this transition occurs is still a topic of much debate. There has been much work done in trying to characterise the galaxy distribution using multifractals. However, for a number of years the size, depth and accuracy of galaxy surveys was regarded as insufficient to give a definitive answer. One of the main problems which arises in a multifractal analysis is how to deal with observational selection effects: ie `masks' in the survey region and a geometric boundary to the survey itself. In this thesis I will introduce a volume boundary correction which is rather similar to the approach developed by Pan and Coles in 2001, but which improves on their angular boundary correction in two important respects: firstly, our volume correction `throws away' fewer galaxies close the boundary of a given data set and secondly it is computationally more efficient. After application of our volume correction, I will then show how the underlying generalised dimensions of a given point set can be computed. I will apply this procedure to calculate the generalised fractal dimensions of both simulated fractal point sets and mock galaxy surveys which mimic the properties of the recent IRAS PSCz catalogue.
dc.descriptionMSc thesis. 89 pages
dc.identifierhttps://arxiv.org/abs/astro-ph/0703492
dc.identifierhttp://arxiv.org/abs/astro-ph/0703492
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/125872
dc.subjectAstrophysics
dc.titleProbing the Large-Scale Homogeneity of the Universe with Galaxy Redshift Surveys
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