Three-Dimensional Filamentation Analysis of SDSS DR5 Survey
Yongfeng Wu, David J. Batuski, Andre Khalil

TL;DR
This paper presents a new multi-scale 3D filamentation analysis method applied to SDSS DR5 galaxy clusters and N-body simulations, revealing differences in filamentation at specific scales and comparing observed and mock samples.
Contribution
Introduces a novel method for analyzing 3D filamentation in galaxy clusters and applies it to SDSS DR5 data and simulations, highlighting scale-dependent filamentation features.
Findings
Mock samples are closer to observed data than random samples.
Observed data shows a large filamentation at 10 Mpc scale not seen in mocks.
One mock sample outperforms another in filamentation analysis.
Abstract
We introduce a new method to calculate the multi-scale 3D filamentation of SDSS DR5 galaxy clusters and also applied it to N-body simulations. We compared the filamentation of the observed vs. mock samples in metric space on scales from 8 Mpc to 30 Mpc. Mock samples are closer to the observed sample than random samples, and one of the mock samples behaves better than another one. We also find that the observed sample has a large filamentation value at a scale of 10 Mpc, which is not found from either mock samples or random samples. Key words: filamentation, metric space, galaxy clusters, SDSS DR5.
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