Cosmic Web Reconstruction through Density Ridges: Catalogue

TL;DR

This paper presents a new catalogue of cosmic filaments detected using the SCMS method, which traces density ridges in galaxy data from SDSS across different redshifts, and analyzes galaxy luminosity relations.

Contribution

It introduces a novel filament detection approach based on density ridges with uncertainty measures, applied to SDSS data to map the cosmic web up to redshift 0.7.

Findings

Filament maps cover redshifts up to 0.7.

Galaxies near filaments are significantly brighter.

The catalogue provides statistical insights into cosmic web evolution.

Abstract

We construct a catalogue for filaments using a novel approach called SCMS (subspace constrained mean shift; Ozertem & Erdogmus 2011; Chen et al. 2015). SCMS is a gradient-based method that detects filaments through density ridges (smooth curves tracing high-density regions). A great advantage of SCMS is its uncertainty measure, which allows an evaluation of the errors for the detected filaments. To detect filaments, we use data from the Sloan Digital Sky Survey, which consist of three galaxy samples: the NYU main galaxy sample (MGS), the LOWZ sample and the CMASS sample. Each of the three dataset covers different redshift regions so that the combined sample allows detection of filaments up to z = 0.7. Our filament catalogue consists of a sequence of two-dimensional filament maps at different redshifts that provide several useful statistics on the evolution cosmic web. To construct the maps, we select spectroscopically confirmed galaxies within 0.050 < z < 0.700 and partition them into 130 bins. For each bin, we ignore the redshift, treating the galaxy observations as a 2-D data and detect filaments using SCMS. The filament catalogue consists of 130 individual 2-D filament maps, and each map comprises points on the detected filaments that describe the filamentary structures at a particular redshift. We also apply our filament catalogue to investigate galaxy luminosity and its relation with distance to filament. Using a volume-limited sample, we find strong evidence (6.1$\sigma$ - 12.3$\sigma$) that galaxies close to filaments are generally brighter than those at significant distance from filaments.