Probing Large Scale Structure using Percolation and Genus Curves

Abstract

We study topological properties of large scale structure in a set of scale free N-body simulations using the genus and percolation curves as topological characteristics. Our results show that as gravitational clustering advances, the density field shows an increasingly pronounced departure from Gaussianity reflected in the changing shape of the percolation curve and the changing amplitude and shape of the genus curve. Both genus and percolation curves differentiate between the connectedness of overdense and underdense regions if plotted against the density. When plotted against the filling factor the percolation curve alone retains this property. The genus curve shows a pronounced decrease in amplitude caused by phase correlations in the non-linear regime. Both genus and percolation curves provide complementary probes of large scale structure topology and can be used to discriminate between models of structure formation and the analysis of observational data such as galaxy catalogs and MBR maps.

8 pages (latex, aaspp) + 4 postscript figures. To appear in, Ap J Lett

Cited by in corpus (22)

• Shapefinders: A new shape diagnostic for large scale structure
• Disentangling the Cosmic Web I: Morphology of Isodensity Contours
• Morphology of the supercluster-void network in LCDM cosmology
• Tree structure of the percolating Universe
• Measuring the Geometry and Topology of Large Scale Structure using SURFGEN: Methodology and Preliminary Results
• Evidence for Filamentarity in the Las Campanas Redshift Survey
• Quantifying the Cosmic Web I: The large-scale halo ellipticity-ellipticity and ellipticity-direction correlations
• Reionization Through the Lens of Percolation Theory
• Morphology of Clusters and Superclusters in N-body simulations of Cosmological Gravitational Clustering
• Persistent homology of the cosmic web. I: Hierarchical topology in $\Lambda$CDM cosmologies
• Detection of Network Structure in the Las Campanas Redshift Survey
• From Finance to Cosmology: The Copula of Large-Scale Structure
• Studying the morphology of HI isodensity surfaces during reionization using Shapefinders and percolation analysis
• Origin of the Cosmic Network: Nature vs Nurture
• Evolution of superclusters in the cosmic web
• Extended percolation analysis of the cosmic web
• Multi-Scale Morphological Analysis of SDSS DR5 Survey using the Metric Space Technique
• Distinguishing reionization models using the largest cluster statistics of the 21-cm maps
• Interpreting the HI 21-cm cosmology maps through Largest Cluster Statistics -- I: Impact of the synthetic SKA1-Low observations
• Perturbative Analysis of Adaptive Smoothing Methods in Quantifying Large-Scale Structure
• Three-Dimensional Filamentation Analysis of SDSS DR5 Survey
• Detecting and analysing the topology of the cosmic web with spatial clustering algorithms I: Methods