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 (39)

• The Sloan Digital Sky Survey: Technical Summary
• The 2dF Galaxy Redshift Survey: Spectra and redshifts
• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• The 3D power spectrum of galaxies from the SDSS
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• The 2dF Galaxy Redshift Survey: The power spectrum and the matter content of the universe
• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• The 2dF Galaxy Redshift Survey: correlation functions, peculiar velocities and the matter density of the Universe
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Tests of Gaussianity
• How Many Galaxies Fit in a Halo? Constraints on Galaxy Formation Efficiency from Spatial Clustering
• The 2dF Galaxy Redshift Survey: The bias of galaxies and the density of the Universe
• Galaxy Clustering in Early SDSS Redshift Data
• The 2dF Galaxy Redshift Survey: The dependence of galaxy clustering on luminosity and spectral type
• The Nature of Galaxy Bias and Clustering
• The 2dF Galaxy Redshift Survey: The b_J-band galaxy luminosity function and survey selection function
• The 2dF Galaxy Redshift Survey: Luminosity dependence of galaxy clustering
• Galaxy groups in the 2dFGRS: the group-finding algorithm and the 2PIGG catalogue
• The Halo Occupation Distribution and the Physics of Galaxy Formation
• Galaxy Clusters in Hubble Volume Simulations: Cosmological Constraints from Sky Survey Populations
• High Resolution Observations of the CMB Power Spectrum with ACBAR
• The Anisotropy of the Microwave Background to l = 3500: Deep Field Observations with the Cosmic Background Imager
• The 2dF Galaxy Redshift Survey: The amplitudes of fluctuations in the 2dFGRS and the CMB, and implications for galaxy biasing
• Probing Primordial Non-Gaussianity with Large-Scale Structure
• The Bispectrum: From Theory to Observations
• The Cosmic Microwave Background and Particle Physics
• Constraints on Galaxy Bias, Matter Density, and Primordial Non--Gausianity from the PSCz Galaxy Redshift Survey
• The Clustering Properties of Lyman-Break Galaxies at Redshift z~3
• First results from the Very Small Array -- III. The CMB power spectrum
• Biased-estimations of the Variance and Skewness
• The 2dF Galaxy Redshift Survey: Hierarchical galaxy clustering
• The Projected Three-point Correlation Function: Theory and Observations
• 3-point temperature anisotropies in WMAP: Limits on CMB non-Gaussianities and non-linearities
• Higher Order Moments of the Angular Distribution of Galaxies from Early SDSS Data
• The luminosity dependence of clustering and higher order correlations in the PSCz survey
• N-point correlations in CDM and $\Omega$CDM Simulations
• The power spectrum of galaxy clustering in the APM survey
• Higher Order Clustering in the Durham/UKST and Stromlo-APM Galaxy Redshift Surveys
• Gravity's smoking gun?
• Large scale structures in the Early SDSS: Comparison of the North and South Galactic strips

Cited by in corpus (68)

• 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
• Galaxy Bias and Halo-Occupation Numbers from Large-Scale Clustering
• The Sloan Great Wall. Morphology and galaxy content
• 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
• The Monopole Moment of the Three-Point Correlation Function of the 2-degree Field Galaxy Redshift Survey
• Modeling the three-point correlation function
• Measuring our universe from galaxy redshift surveys
• 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 HI intensity mapping bispectrum including observational effects
• On an Analytical Framework for Voids: Their abundances, density profiles and local mass functions
• The statistics of voids as a tool to constrain cosmological parameters: sigma_8 and Omega_m h
• Evolution of hierarchical clustering in the CFHTLS-Wide since z~1
• The VIMOS Public Extragalactic Redshift Survey (VIPERS). Hierarchical scaling and biasing
• Topology of large-scale structure in the 2dF Galaxy Redshift Survey
• Topology of non-linear 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
• Void Probability Function of Simulated Surveys of high-redshift Lyman-Alpha Emitters
• Large scale anisotropies on halo infall
• Can we distinguish early dark energy from a cosmological constant?
• High-order 2MASS galaxy correlation functions: Probing the primordial density field and the linearity of galaxy bias
• The Beylkin-Cramer Summation Rule and A New Fast Algorithm of Cosmic Statistics for Large Data Sets
• Probing cosmology via the clustering of critical points
• Ultraviolet background fluctuations with clustered sources
• Quantifying galactic clustering and departures from randomness of the inter-galactic void probability function using information geometry
• Galaxy and halo angular clustering in LCDM and Modified Gravity cosmologies
• The richest superclusters. I. Morphology
• Quantifying Weighted Morphological Content of Large-Scale Structures via Simulation-Based Inference
• Skewness as a Probe of Gravity: Real and Redshift Space Counts-In-Cells
• About One-point Statistics of the Ratio of Two Fourier-transformed Cosmic Fields and an Application
• Probing topological relation between high density and low density region of 2MASS with hexagon cells