The 2dF Galaxy Redshift Survey: higher order galaxy correlation functions

Abstract

We measure moments of the galaxy count probability distribution function in the two-degree field galaxy redshift survey (2dFGRS). The survey is divided into volume limited subsamples in order to examine the dependence of the higher order clustering on galaxy luminosity. We demonstrate the hierarchical scaling of the averaged p-point galaxy correlation functions, xibar_p, up to p=6. The hierarchical amplitudes, S_p = xibar_p/xibar_2^{p-1}, are approximately independent of the cell radius used to smooth the galaxy distribution on small to medium scales. On larger scales we find the higher order moments can be strongly affected by the presence of rare, massive superstructures in the galaxy distribution. The skewness S_3 has a weak dependence on luminosity, approximated by a linear dependence on log luminosity. We discuss the implications of our results for simple models of linear and non-linear bias that relate the galaxy distribution to the underlying mass.

14 pages, 10 figures. Slight revisions to match version published in MNRAS

References in corpus (4)

• The 3D power spectrum of galaxies from the SDSS
• Galaxy groups in the 2dFGRS: the group-finding algorithm and the 2PIGG catalogue
• Probing Primordial Non-Gaussianity with Large-Scale Structure
• The 2dF Galaxy Redshift Survey: Hierarchical galaxy clustering

Cited by in corpus (67)

• The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
• Statistical Analysis of Galaxy Surveys - I. Robust error estimation for 2-point clustering statistics
• Gravity and Large-Scale Non-local Bias
• Cosmology and the Bispectrum
• On measuring the covariance matrix of the nonlinear power spectrum from simulations
• Spatial and Dynamical Properties of Voids in a LCDM Universe
• The three dimensional skeleton: tracing the filamentary structure of the universe
• Cosmological information in the redshift-space bispectrum
• The DEEP2 Galaxy Redshift Survey: Clustering of Galaxies as a Function of Luminosity at z=1
• The DEEP2 Galaxy Redshift Survey: Clustering of Quasars and Galaxies at z=1
• The assembly bias of dark matter haloes to higher orders
• Statistical Analysis of Galaxy Surveys-II. The 3-point galaxy correlation function measured from the 2dFGRS
• The Effect of Large-Scale Structure on the SDSS Galaxy Three-Point Correlation Function
• The Three-Point Correlation Function of Luminous Red Galaxies in the Sloan Digital Sky Survey
• The VIMOS VLT Deep Survey: Evolution of the non-linear galaxy bias up to z=1.5
• The 3-point function in large scale structure: redshift distortions and galaxy bias
• The Sloan Great Wall. Morphology and galaxy content
• Galaxy Bias and Halo-Occupation Numbers from Large-Scale Clustering
• Primordial non-Gaussianity in the large scale structure of the Universe
• Quantifying the Cosmic Web I: The large-scale halo ellipticity-ellipticity and ellipticity-direction correlations
• Modeling the three-point correlation function
• The Monopole Moment of the Three-Point Correlation Function of the 2-degree Field Galaxy Redshift Survey
• Hierarchical clustering in chameleon $f(R)$ gravity
• The mass density field in simulated non-Gaussian scenarios
• Can large-scale structure probe CMB-constrained non-Gaussianity?
• Toward understanding rich superclusters
• Morphology of the galaxy distribution from wavelet denoising
• Large Scale Structure of the Universe
• A Robust Measure of Cosmic Structure beyond the Power-Spectrum: Cosmic Filaments and the Temperature of Dark Matter
• Statistical analysis of galaxy surveys - III: The non-linear clustering of red and blue galaxies in the 2dFGRS
• Multi-scale morphology of the galaxy distribution
• Precision Measurements of Higher-Order Angular Galaxy Correlations Using 11 Million SDSS Galaxies
• Statistical Analysis of Galaxy Surveys-IV: An objective way to quantify the impact of superstructures on galaxy clustering statistics
• Revealing modified gravity signal in matter and halo hierarchical clustering
• Covariance matrices for halo number counts and correlation functions
• The nature of the relative bias between galaxies of different spectral type in 2dFGRS
• Connected structure in the 2dFGRS
• The statistics of voids as a tool to constrain cosmological parameters: sigma_8 and Omega_m h
• On an Analytical Framework for Voids: Their abundances, density profiles and local mass functions
• The HI intensity mapping bispectrum including observational effects
• Evolution of hierarchical clustering in the CFHTLS-Wide since z~1
• Topology of non-linear structure in the 2dF Galaxy Redshift Survey
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Hierarchical scaling and biasing
• Topology of large-scale structure in the 2dF Galaxy Redshift Survey
• Are the 2dFGRS superstructures a problem for hierarchical models?
• The VIMOS VLT Deep Survey: Testing the gravitational instability paradigm at z ~ 1
• Constraining Primordial Non-Gaussianity with Moments of the Large Scale Density Field
• Conditional Cumulants in Weakly Non-linear Regime
• Compatibility of the Large Quasar Groups with the Concordance Cosmological Model
• Void Statistics and Hierarchical Scaling in the Halo Model
• Quantifying the redshift space distortion of the bispectrum III : Detection prospects of the multipole moments
• Skewness as a probe of Baryon Acoustic Oscillations
• Scale-dependent Bias from the Reconstruction of Non-Gaussian Distributions
• Large scale anisotropies on halo infall
• Can we distinguish early dark energy from a cosmological constant?
• Void Probability Function of Simulated Surveys of high-redshift Lyman-Alpha Emitters
• The Beylkin-Cramer Summation Rule and A New Fast Algorithm of Cosmic Statistics for Large Data Sets
• High-order 2MASS galaxy correlation functions: Probing the primordial density field and the linearity of galaxy bias
• Probing cosmology via the clustering of critical points
• Quantifying galactic clustering and departures from randomness of the inter-galactic void probability function using information geometry
• Ultraviolet background fluctuations with clustered sources
• Galaxy and halo angular clustering in LCDM and Modified Gravity cosmologies
• The richest superclusters. I. Morphology
• About One-point Statistics of the Ratio of Two Fourier-transformed Cosmic Fields and an Application
• Skewness as a Probe of Gravity: Real and Redshift Space Counts-In-Cells
• Probing topological relation between high density and low density region of 2MASS with hexagon cells
• Quantifying Weighted Morphological Content of Large-Scale Structures via Simulation-Based Inference