Characterization of the Large-Scale Structure using the Minimal Spanning Tree

Statistics

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Scientific paper

The Minimal Spanning Tree (MST) was first introduced into the Astronomical literature in 1985 by Barrow, Bhavsar and Sonoda. We have shown that it is possible to extract all of the information contained in a percolation analysis of point datasets using the MST. Our MST based algorithm allows us to compute the percolation statistics using an order of magnitude less in computing time. Recent work has focused on the development, application and testing of statistics based upon the MST to characterize the clustering of galaxies. We have shown that a number of traditional statistics are not discriminatory. We currently are considering a number of new statistics which we will be more robust and capable of discriminating between various initial conditions. We will apply these MST based statistics to various large-scale galaxy redshift surveys, such as the CfA and Southern Sky Redshift Catalog. A comparison between the results of the redshift surveys and our N-body simulations may lead to an increased understanding of how mass is distributed on large-scales in the universe.

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