The Cosmic Web: Geometric Analysis

Understand

The lecture notes describe the Delaunay Tessellation Field Estimator for Cosmic Web analysis.

• The high sensitivity of Voronoi/Delaunay tessellations to the local point distribution is used to obtain estimates of density and related quantities.
• The adaptive and minimum triangulation properties of Delaunay tessellations are utilized for interpolation to continuous volume-covering density and velocity fields.
• The adaptivity to the local density and geometry preserves three key characteristics of the cosmic matter distribution: 1) its hierarchical nature,2) its anisotropic weblike morphology, 3) the presence and structure of voids.