The Cosmic Web: Geometric Analysis

Abstract

The lecture notes describe the Delaunay Tessellation Field Estimator for Cosmic Web analysis. The high sensitivity of Voronoi/Delaunay tessellations to the local point distribution is used to obtain estimates of density and related quantities. The adaptive and minimum triangulation properties of Delaunay tessellations are utilized for interpolation to continuous volume-covering density and velocity fields. The adaptivity to the local density and geometry preserves three key characteristics of the cosmic matter distribution: 1) its hierarchical nature,2) its anisotropic weblike morphology, 3) the presence and structure of voids. The lecture notes discuss the mathematical context and background of the DTFE method, in essence a first order version of Natural Neighbour methods, smooth and higher order spatial interpolation techniques. This is followed by an outline of the DTFE procedure. A series of tests on spatially complex point distributions provides quantitative information on its performance and noise characteristics. We conclude with a few cosmological applications. The reconstruction of the spatial weblike patterns in N-body simulations and in the 2dFGRS provide a visual impression of DTFE's performance. The analysis of the velocity divergence pdf and maps obtained of the velocity flow in the Local Universe (implied by PSCz) illustrate its promise for probing the dynamics of cosmic structure. The Watershed Void Finder (Platen et al. 2007), for the study of voids, and Multiscale Morphology Filter (Aragon-Calvo et al. 2007), for identifying and analyzing weblike networks of filaments, sheets and clusters, are based upon DTFE density fields. We also mention SimpleX, a related random lattice radiative transfer formalism (Ritzerveld & Icke 2006).

128 pp., 52+1 figures, lecture notes summerschool "Data Analysis in Cosmology" (Valencia), eds. V. Martinez, E. Saar, E. Martinez-Gonzalez, M. Pons-Borderia, Springer-Verlag. For high-res version see http://www.astro.rug.nl/~weygaert/tim1publication/weyval2004.pdf

References in corpus (9)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Shape Transformation Using Variational Implicit Functions
• Cosmological Radiative Transfer Codes Comparison Project I: The Static Density Field Tests
• The Properties of Galaxies in Voids
• Alignments of Voids in the Cosmic Web
• Quantifying Cosmic Superstructures
• Transport on Adaptive Random Lattices
• Smoothing Algorithms and High-order Singularities in Gravitational Lensing
• Froth across the Universe Dynamics and Stochastic Geometry of the Cosmic Foam

Cited by in corpus (92)

• The persistent cosmic web and its filamentary structure I: Theory and implementation
• ZOBOV: a parameter-free void-finding algorithm
• An Imprint of Super-Structures on the Microwave Background due to the Integrated Sachs-Wolfe Effect
• Multiscale Phenomenology of the Cosmic Web
• The Spine of the Cosmic Web
• The nonlinear matter and velocity power spectra in f(R) gravity
• Redshift space distortions in f(R) gravity
• The Topology of the Cosmic Web in Terms of Persistent Betti Numbers
• Cosmic Voids: structure, dynamics and galaxies
• Weak lensing by voids in modified lensing potentials
• ORIGAMI: Delineating Halos using Phase-Space Folds
• The Void Size Function in Dynamical Dark Energy Cosmologies
• The Sloan Great Wall. Morphology and galaxy content
• Felix: A Topology based Framework for Visual Exploration of Cosmic Filaments
• Properties of gas phases around cosmic filaments at z=0 in the Illustris-TNG simulation
• Populations of filaments from the distribution of galaxies in numerical simulations
• The bias of cosmic voids in the presence of massive neutrinos
• Exploring Cosmic Origins with CORE: B-mode Component Separation
• The GIGANTES dataset: precision cosmology from voids in the machine learning era
• An Interacting Galaxy System Along a Filament in a Void
• Euclid: Forecasts from redshift-space distortions and the Alcock-Paczynski test with cosmic voids
• Cosmic Web and Environmental Dependence of Screening: Vainshtein vs. Chameleon
• Characterising filaments in the SDSS volume from the galaxy distribution
• Finding cosmic voids and filament loops using topological data analysis
• A Map of the Integrated Sachs-Wolfe Signal from Luminous Red Galaxies
• The Void Galaxy Survey: Star Formation Properties
• Rejuvenating Power Spectra II: the Gaussianized galaxy density field
• Caught in the cosmic web: Environmental effect on halo concentrations, shape, and spin
• Self-similarity and universality of void density profiles in simulation and SDSS data
• Like a spider in its web: a study of the Large Scale Structure around the Coma cluster
• Quantifying distortions of the Lagrangian dark-matter mesh in cosmology
• The Generation of Vorticity in Cosmological N-body Simulations
• The view from the boundary: a new void stacking method
• Sloan Great Wall as a complex of superclusters with collapsing cores
• Fractal Dimensions of a Weakly Clustered Distribution and the Scale of Homogeneity
• DIVE in the cosmic web: voids with Delaunay Triangulation from discrete matter tracer distributions
• The boundary of cosmic filaments
• The multi-stream flows and the dynamics of the cosmic web
• Voids and the Cosmic Web: cosmic depressions & spatial complexity
• The fully non-linear post-Friedmann frame-dragging vector potential: Magnitude and time evolution from N-body simulations
• Radio Emission in the Cosmic Web
• Disentangling correlated scatter in cluster mass measurements
• On the relative effect of nodes and filaments of the cosmic web on the quenching of galaxies and the orientation of their spin
• Large Scale Structure in CHILES
• Deviations from tidal torque theory: evolution of the halo spin-filament alignment
• Flows around galaxies. I. The dependency of galaxy connectivity on cosmic environments and effects on the star-formation rate
• Gamma-ray Cosmology and Tests of Fundamental Physics
• Supercluster A2142 and collapse in action - infalling and merging groups and galaxy transformations
• Wavelet analysis of the formation of the cosmic web
• Structure in the 3D Galaxy Distribution: I. Methods and Example Results
• Euclid: The search for primordial features
• Infalling groups and galaxy transformations in the cluster A2142
• The velocity field in MOND cosmology
• Tracing high redshift cosmic web with quasar systems
• Intergalactic filaments spin
• DM haloes in the fifth-force cosmology
• CO-CAVITY pilot survey: Molecular gas and star formation in void galaxies
• Sixteen years of X-ray monitoring of Sagittarius A*: Evidence for a decay of the faint flaring rate from 2013 August, 13 months before a rise in the bright flaring rate
• Extended percolation analysis of the cosmic web
• f(R) gravity on non-linear scales: The post-Friedmann expansion and the vector potential
• Swarm Intelligence-based Extraction and Manifold Crawling Along the Large-Scale Structure
• The cosmic web connection to the dark matter halo distribution through gravity
• The Void Galaxy Survey
• The cosmic web around the Coma cluster from constrained cosmological simulations: I. Filaments connected to Coma at $z=0$
• Straightening the Density-Displacement Relation with a Logarithmic Transform
• Iterative removal of redshift space distortions from galaxy clustering
• Continuation of the X-ray monitoring of Sgr A*: the increase in bright flaring rate confirmed
• The evolution of high-density cores of the BOSS Great Wall superclusters
• Replacing dark energy by silent virialisation
• The large-scale structure around the Fornax-Eridanus Complex
• Shell-like structures in our cosmic neighbourhood
• Fractal distributions of dark matter and gas in the MareNostrum Universe
• The Tessellation-Level-Tree: characterising the nested hierarchy of density peaks and their spatial distribution in cosmological N-body simulations
• The cosmic spiderweb: equivalence of cosmic, architectural, and origami tessellations
• The Three Hundred project: Estimating the dependence of gas filaments on the mass of galaxy clusters
• Smooth halos in the cosmic web
• The galaxy bias profile of cosmic voids
• Understanding the cosmic web
• Cosmic Order out of Primordial Chaos: a tribute to Nikos Voglis
• Unveiling galaxy pair alignment in cosmic filaments: A 3D exploration using EAGLE simulation
• Galaxy Superclusters and Their Complexes in the Cosmic Web
• Cosmological Signatures of Dark Sector Physics: The Evolution of Haloes and Spin Alignment
• The Void Galaxy Survey: Galaxy Evolution and Gas Accretion in Voids
• Geometry of the Cosmic Web: Minkowski Functionals from the Delaunay Tessellation
• Chemodynamic evidence of pristine gas accretion in the void galaxy VGS 12
• Motion of the Local Group as a cosmological probe
• Faint galaxies in the Zone of Avoidance revealed by JWST/NIRCam
• Individual halo bias in models of $f(R)$ gravity
• The invariance of group occupation across the cosmic web
• AVISM: Algorithm for Void Identification in coSMology
• Warmth Elevating the Depths: Shallower Voids with Warm Dark Matter
• Nature of Clustering of Large Scale Structures