Three-dimensional Shape Statistics: Applications
Abstract
We apply the three-dimensional shape statistics developed in our previous paper to observations and simulations. We also develop an improved way of presenting the structures detected by the shape statistics over the one in the previous paper. We find significantly different clustering properties between the CfA survey and the Pisces- Perseus Supercluster survey on all scales we consider, implying that neither of them is a fair sample of the universe. Our results demonstrate that the shape statistics are powerful tools to detect clusters in a galaxy distribution, to distinguish filaments from pancakes, to discriminate different models of the large-scale structure, and to probe the dynamic evolution of structure formation.
- Publication:
-
The Astrophysical Journal
- Pub Date:
- September 1996
- DOI:
- 10.1086/177669
- Bibcode:
- 1996ApJ...468...62L
- Keywords:
-
- COSMOLOGY: THEORY;
- GALAXIES: CLUSTERS: GENERAL;
- GALAXIES: STRUCTURE;
- METHODS: STATISTICAL