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The use of summary statistics beyond the two-point correlation function to analyze the non-Gaussian clustering on small scales is an active field of research in cosmology. In this paper, we explore a set of new summary statistics -- the…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-03 Arka Banerjee , Tom Abel

In astronomy and cosmology, significant effort is devoted to characterizing and understanding spatial cross-correlations between points - e.g. galaxy positions, high energy neutrino arrival directions, X-ray and AGN sources, and continuous…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-11 Arka Banerjee , Tom Abel

The $k$-Nearest Neighbour Cumulative Distribution Functions are measures of clustering for discrete datasets that are fast and efficient to compute. They are significantly more informative than the 2-point correlation function. Their…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-27 Kwanit Gangopadhyay , Arka Banerjee , Tom Abel

Distances to the $k$-nearest-neighbor ($k$NN) data points from volume-filling query points are a sensitive probe of spatial clustering. Here we present the first application of $k$NN summary statistics to observational clustering…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-27 Yunchong Wang , Arka Banerjee , Tom Abel , .

21cm radiation from neutral hydrogen serves as a direct probe of the Epoch of Reionization. However, both its detection and physical interpretation are severely hindered by contamination from astrophysical foreground emission and…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-07 Anirban Chakraborty , Kwanit Gangopadhyay , Arka Banerjee , Tirthankar Roy Choudhury

Searches for primordial non-Gaussianity in cosmological perturbations are a key means of revealing novel primordial physics. However, robustly extracting signatures of primordial non-Gaussianity from non-linear scales of the late-time…

Cosmology and Nongalactic Astrophysics · Physics 2023-09-28 William R. Coulton , Tom Abel , Arka Banerjee

Extracting cosmological parameters from galaxy/halo catalogues with sub-percent level accuracy is an important aspect of modern cosmology, especially in view of ongoing and upcoming surveys such as Euclid, DESI, and LSST. While traditional…

Cosmology and Nongalactic Astrophysics · Physics 2025-11-18 Atrideb Chatterjee , Arka Banerjee , Francisco Villaescusa-Navarro , Tom Abel

We investigate the application of Hybrid Effective Field Theory (HEFT) -- which combines a Lagrangian bias expansion with subsequent particle dynamics from $N$-body simulations -- to the modeling of $k$-Nearest Neighbor Cumulative…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-02 Arka Banerjee , Nickolas Kokron , Tom Abel

We investigate whether neighbor-density-weighted marked correlation functions (MCFs) can extract cosmological information beyond the standard redshift-space two-point correlation function (2PCF). Using the Kun suite of 129 $w_0w_a$CDM$+\sum…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-25 Xu Xiao , Xiao-Dong Li , Yiqi Huang , Le Zhang

Widefield surveys of the sky probe many clustered scalar fields -- such as galaxy counts, lensing potential, gas pressure, etc. -- that are sensitive to different cosmological and astrophysical processes. Our ability to constrain such…

We introduce a novel unbiased, cross-correlation estimator for the one-point statistics of cosmological random fields. One-point statistics are a useful tool for analysis of highly non-Gaussian density fields, while cross-correlations…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-16 Patrick C. Breysse , Dongwoo T. Chung , Håvard T. Ihle

For future surveys of fast radio bursts (FRBs), we clarify information available from cosmic dispersion measures (DMs) through cross-correlation analyses of foreground dark matter haloes (hosting galaxies and galaxy clusters) with their…

Cosmology and Nongalactic Astrophysics · Physics 2022-03-02 Masato Shirasaki , Ryuichi Takahashi , Ken Osato , Kunihito Ioka

With the advent of high-quality surveys in cosmology the full three-point correlation function will be a valuable statistic for describing structure formation models. It contains information on cosmological parameters and detailed halo…

Astrophysics · Physics 2009-11-07 Masahiro Takada , Bhuvnesh Jain

The dependence of galaxy clustering on local density provides an effective method for extracting non-Gaussian information from galaxy surveys. The two-point correlation function (2PCF) provides a complete statistical description of a…

Observables such as the luminosity function of galaxies, \Phi(M), the projected clustering of galaxies, w_p(r_p), and the galaxy-galaxy lensing signal, \Delta\Sigma, are often measured from galaxy redshift surveys assuming a fiducial…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Surhud More

We used magneto-hydrodynamical cosmological simulations to investigate the cross-correlation between different observables (i.e. X-ray emission, Sunyaev-Zeldovich signal at 21 cm, HI temperature decrement, diffuse synchrotron emission and…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-29 Claudio Gheller , Franco Vazza

This thesis presents the analysis of the clustering of galaxies in the 6dF Galaxy Survey (6dFGS). At large separation scales the baryon acoustic oscillation (BAO) signal is detected which allows to make an absolute distance measurement at…

Cosmology and Nongalactic Astrophysics · Physics 2013-03-15 Florian Beutler

The spatial distribution of satellite galaxies around host galaxies can illuminate the relationship between satellites and dark matter subhalos and aid in developing and testing galaxy formation models. Previous efforts to constrain the…

Astrophysics · Physics 2009-06-23 Jacqueline Chen

This paper studies the relative spatial distribution of red-sequence and blue-cloud galaxies, and their relation to the dark matter distribution in the COMBO-17 survey as function of scale down to z~1. We measure the 2nd-order auto- and…

Stacking cosmic microwave background (CMB) maps around known galaxy clusters and groups provides a powerful probe of the distribution of hot gas in these systems via the Sunyaev-Zel'dovich (SZ) effect. A stacking analysis allows one to…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-18 Vinu Vikram , Adam Lidz , Bhuvnesh Jain
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