Nearest neighbour distributions: New statistical measures for cosmological clustering

被引：82

作者：

Banerjee, Arka ^{[1
,2
,3
]}

Abel, Tom ^{[1
,2
,3
]}

机构：

[1] Stanford Univ, Kavli Inst Particle Astrophys & Cosmol, 452 Lomita Mall, Stanford, CA 94305 USA

[2] Stanford Univ, Dept Phys, 382 Via Pueblo Mall, Stanford, CA 94305 USA

[3] SLAC Natl Accelerator Lab, 2575 Sand Hill Rd, Menlo Pk, CA 94025 USA

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2021年 / 500卷 / 04期

关键词：

cosmological parameters; large-scale structure of Universe; PROBABILITY-DISTRIBUTION FUNCTION; 3-POINT CORRELATION-FUNCTION; GALAXY ASSEMBLY BIAS; DENSITY DISTRIBUTION; NON-GAUSSIANITY; POWER SPECTRA; BISPECTRUM; EVOLUTION; MATTER; MODEL;

D O I：

10.1093/mnras/staa3604

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The use of summary statistics beyond the two-point correlation function to analyse the non-Gaussian clustering on small scales, and thereby, increasing the sensitivity to the underlying cosmological parameters, is an active field of research in cosmology. In this paper, we explore a set of new summary statistics - the k-Nearest Neighbour Cumulative Distribution Functions (kNN-CDF). This is the empirical cumulative distribution function of distances from a set of volume-filling, Poisson distributed random points to the k-nearest data points, and is sensitive to all connected N-point correlations in the data. The kNN-CDF can be used to measure counts in cell, void probability distributions, and higher N-point correlation functions, all using the same formalism exploiting fast searches with spatial tree data structures. We demonstrate how it can be computed efficiently from various data sets - both discrete points, and the generalization for continuous fields. We use data from a large suite of N-body simulations to explore the sensitivity of this new statistic to various cosmological parameters, compared to the two-point correlation function, while using the same range of scales. We demonstrate that the use of kNN-CDF improves the constraints on the cosmological parameters by more than a factor of 2 when applied to the clustering of dark matter in the range of scales between 10 and 40 h(-1) Mpc. We also show that relative improvement is even greater when applied on the same scales to the clustering of haloes in the simulations at a fixed number density, both in real space, as well as in redshift space. Since the kNN-CDF are sensitive to all higher order connected correlation functions in the data, the gains over traditional two-point analyses are expected to grow as progressively smaller scales are included in the analysis of cosmological data, provided the higher order correlation functions are sensitive to cosmology on the scales of interest.

引用

页码：5479 / 5499

页数：21

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