The persistent cosmic web and its filamentary structure II: Illustrations

By Thierry Sousbie, C. Pichon, Hajime Kawahara. 2010

202 citations recorded by the source corpus.

The recently introduced discrete persistent structure extractor (DisPerSE, Soubie 2010, paper I) is implemented on realistic 3D cosmological simulations and observed redshift catalogues (SDSS); it is found that DisPerSE traces equally well the observed filaments, walls, and voids in both cases. In either setting, filaments are shown to connect onto halos, outskirt walls, which circumvent voids. Indeed this algorithm operates directly on the particles without assuming anything about the distribution, and yields a natural (topologically motivated) self-consistent criterion for selecting the significance level of the identified structures. It is shown that this extraction is possible even for very sparsely sampled point processes, as a function of the persistence ratio. Hence astrophysicists should be in a position to trace and measure precisely the filaments, walls and voids from such samples and assess the confidence of the post-processed sets as a function of this threshold, which can be expressed relative to the expected amplitude of shot noise. In a cosmic framework, this criterion is comparable to friend of friend for the identifications of peaks, while it also identifies the connected filaments and walls, and quantitatively recovers the full set of topological invariants (Betti numbers) {\sl directly from the particles} as a function of the persistence threshold. This criterion is found to be sufficient even if one particle out of two is noise, when the persistence ratio is set to 3-sigma or more. The algorithm is also implemented on the SDSS catalogue and used to locat interesting configurations of the filamentary structure. In this context we carried the identification of an ``optically faint'' cluster at the intersection of filaments through the recent observation of its X-ray counterpart by SUZAKU. The corresponding filament catalogue will be made available online.

Subfields: Astronomy and Astrophysics, Instrumentation

View Paper: https://www.semanticscholar.org/paper/302afe3e5d8af9bb38116d70a3aa0caa5220f95c

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Citations in the corpus

Cluster-formation in the Rosette molecular cloud at the junctions of filaments (2012, unknown): “Overlaid on the image are the filaments traced by the DisPerSE algorithm (Sousbie et al. 2011).”
Tracing the cosmic web (2017, background): “A recent systematic inventory of filaments in the SDSS galaxy redshift distribution has been catalogued by Tempel et al. (2014) (also see Jones et al. 2010; Sousbie et al. 2011).”
Topological Data Analysis (2016, methodology): “Sousbie et al. (2011); Sousbie (2011) uses Morse theory to model the filamentary structures of the cosmic web.”
On the universality of interstellar filaments: theory meets simulations and observations (2015, methodology): “In order to identify filaments in the column density maps produced from our simulations, we apply the opensource tool DisPerSE (Sousbie 2011; Sousbie et al. 2011) as in Arzoumanian et al. (2011).”
Filaments and ridges in Vela C revealed by Herschel: from low-mass to high-mass star-forming sites (2011, background): “DisPerSE works on the principles of computational topology, namely the Morse theory, and the concept of persistence, to identify topological structure such as filaments, and connect their saddle-points to maxima with integral lines (Sousbie 2011; Sousbie et al. 2011).”
NEXUS: Tracing the cosmic web connection (2012, methodology): “The most widely used tracers of the Cosmic Web is the density (Aragón-Calvo et al. 2007b; Sousbie et al. 2008, 2011) and the tidal field (Hahn et al. 2007a; Forero-Romero et al. 2009).”