(5d) Three-Dimensional Shape Statistics and Galaxy Clustering
Luo, Vishniac, and Martel (1996) tested and applied new, 3D
shape statistics for identifying quantitatively the presence and importance of
structures such as filaments and sheets in the galaxy distribution. In order to
test these shape statistics, we used a P3M code to simulate large-scale
structure formation in CDM and HDM models. We found significantly different
clustering properties between the CDM and HDM models. Our results demonstrated
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.