A new class of geometric statistics for analysing galaxy catalogues is presented. Filament statistics quantify filamentarity and planarity in large-scale structure in a manner consistent with catalogue visualizations. These statistics are based on sequences of spatial links which follow local high-density structures. From these link sequences we compute the discrete curvature, planarity, and torsion. Filament statistics are applied to cold dark matter (CDM) and cold + hot dark matter (CHDM) (Ωv = 0.3) simulations of Klypin et al., the CfA1-like mock redshift catalogues of Nolthenius, Klypin & Primack, and the CfA1 catalogue.
No takes yet. Share an insight, caveat, or question.
A 1997 study studied this question.