Tracing high redshift cosmic web with quasar systems
Maret Einasto, Erik Tago, Heidi Lietzen, Changbom Park, Pekka, Heinamaki, Enn Saar, Hyunmi Song, Lauri Juhan Liivamagi, Jaan Einasto

TL;DR
This study maps the high-redshift cosmic web using quasar data, applying a friend-of-friend algorithm to identify systems and analyze their properties, revealing similarities to local superclusters and providing a valuable database for future research.
Contribution
It introduces a novel application of the friend-of-friend algorithm to high-redshift quasars, characterizing the cosmic web at z~1-2 and creating a publicly accessible quasar system catalog.
Findings
Quasar systems at small linking lengths are smaller and more numerous than random expectations.
Richest quasar systems have up to four members, comparable to poor galaxy superclusters.
Quasar system sizes at large linking lengths resemble local supercluster structures.
Abstract
We trace the cosmic web at redshifts 1.0 <= z <= 1.8 using the quasar data from the SDSS DR7 QSO catalogue (Schneider et al. 2010). We apply a friend-of-friend (FoF) algorithm to the quasar and random catalogues to determine systems at a series of linking lengths, and analyse richness and sizes of these systems. At the linking lengths l <= 30 Mpc/h the number of quasar systems is larger than the number of systems detected in random catalogues, and systems themselves have smaller diameters than random systems. The diameters of quasar systems are comparable to the sizes of poor galaxy superclusters in the local Universe, the richest quasar systems have four members. The mean space density of quasar systems is close to the mean space density of local rich superclusters. At intermediate linking lengths (40 <= l <= 70 Mpc/h) the richness and length of quasar systems are similar to those…
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