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The mark weighted correlation function (MCF) $W(s,\mu)$ is a computationally efficient statistical measure which can probe clustering information beyond that of the conventional 2-point statistics. In this work, we extend the traditional…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-13 Xiaoyuan Xiao , Yizhao Yang , Xiaolin Luo , Jiacheng Ding , Zhiqi Huang , Xin Wang , Yi Zheng , Cristiano G. Sabiu , Jaime Forero-Romero , Haitao Miao , Xiao-Dong Li

We used the mark weighted correlation functions (MCFs), $W(s)$, to study the large scale structure of the Universe. We studied five types of MCFs with the weighting scheme $\rho^\alpha$, where $\rho$ is the local density, and $\alpha$ is…

Cosmology and Nongalactic Astrophysics · Physics 2020-09-02 Yizhao Yang , Haitao Miao , Qinglin Ma , Miaoxin Liu , Cristiano G. Sabiu , Jaime Forero-Romero , Yuanzhu Huang , Limin Lai , Qiyue Qian , Yi Zheng , Xiao-Dong Li

In this study, we investigate the potential of mark-weighted angular correlation functions (MACFs), which integrate $\beta$-cosmic-web classification with angular correlation function analysis to improve cosmological constraints. Using SDSS…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-03 Fenfen Yin , Liang Xiao , Wenying Du , Zhujun Jiang , Zhiwei Min , Jaime Forero-Romero , Jiacheng Ding , Le Zhang , Xiao-Dong Li

Large-scale structure (LSS) surveys will increasingly provide stringent constraints on our cosmological models. Recently, the density-marked correlation function (MCF) has been introduced, offering an easily computable density-correlation…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-11 L. M. Lai , J. C. Ding , X. L. Luo , Y. Z. Yang , Z. H. Wang , K. S. Liu , G. F. Liu , X. Wang , Y. Zheng , Z. Y. Li , L. Zhang , X. D. Li

Most statistical inference from cosmic large-scale structure relies on two-point statistics, i.e.\ on the galaxy-galaxy correlation function (2PCF) or the power spectrum. These statistics capture the full information encoded in the Fourier…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-09 Kamran Ali , Danail Obreschkow , Cullan Howlett , Camille Bonvin , Claudio Llinares , Felipe Oliveira Franco , Chris Power

We present the integrated 3-point correlation functions (3PCF) involving both the cosmic shear and the galaxy density fields. These are a set of higher-order statistics that describe the modulation of local 2-point correlation functions…

Cosmology and Nongalactic Astrophysics · Physics 2023-05-29 Anik Halder , Zhengyangguang Gong , Alexandre Barreira , Oliver Friedrich , Stella Seitz , Daniel Gruen

Marked power spectra are two-point statistics of a marked field obtained by weighting each location with a function that depends on the local density around that point. We consider marked power spectra of the galaxy field in redshift space…

Accurate modelling of redshift-space distortions (RSD) is challenging in the non-linear regime for two-point statistics e.g. the two-point correlation function (2PCF). We take a different perspective to split the galaxy density field…

Cosmology and Nongalactic Astrophysics · Physics 2021-07-14 Enrique Paillas , Yan-Chuan Cai , Nelson Padilla , Ariel Sánchez

We establish a practical method for the joint analysis of anisotropic galaxy two- and three-point correlation functions (2PCF and 3PCF) on the basis of the decomposition formalism of the 3PCF using tri-polar spherical harmonics. We perform…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-16 Naonori S. Sugiyama , Shun Saito , Florian Beutler , Hee-Jong Seo

The tomographic Alcock-Paczynski(AP) method, developed over the past decade, exploits redshift evolution for cosmological determination, aiming to mitigate contamination from redshift distortions and capture nonlinear scale information.…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-20 Liang Xiao , Limin Lai , Zhujun Jiang , Xiao-Dong Li , Le Zhang

For the first time, we develop a simulation-based model for the Minkowski functionals (MFs) of large-scale structure, which allows us to extract the full information available from the MFs (including both the Gaussian and non-Gaussian…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-20 Wei Liu , Enrique Paillas , Carolina Cuesta-Lazaro , Georgios Valogiannis , Wenjuan Fang

Cross-correlations between datasets are used in many different contexts in cosmological analyses. Recently, $k$-Nearest Neighbor Cumulative Distribution Functions ($k{\rm NN}$-${\rm CDF}$) were shown to be sensitive probes of cosmological…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-28 Arka Banerjee , Tom Abel

Building on previous developments of a harmonic decomposition framework for computing the three-point correlation function (3PCF) of projected scalar fields over the sky, this work investigates how much cosmological information is contained…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-16 Sofia Samario-Nava , Alejandro Aviles , Juan Carlos Hidalgo

Galaxy redshift surveys encode a wealth of information generated by nonlinear gravitational evolution, galaxy bias, and redshift-space distortions, only part of which is accessible through standard two-point statistics. Motivated by the…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-29 Davide Bianchi

We perform a blinded cosmology analysis with cosmic shear two-point correlation functions (2PCFs) measured from more than 25 million galaxies in the Hyper Suprime-Cam three-year shear catalog in four tomographic redshift bins ranging from…

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…

As in Gonzalez-Nuevo et al. 2017 and Bonavera et al. 2019, the high-z sub-millimetre galaxies can be used as background sample for gravitational lensing studies thanks to their magnification bias. In particular, as in Bonavera et al. 2020…

Cosmology and Nongalactic Astrophysics · Physics 2021-12-08 L. Bonavera , M. M. Cueli , J. González-Nuevo , T. Ronconi , M. Migliaccio , A. Lapi , J. M. Casas , D. Crespo

We present a method of calibrating the properties of photometric redshift bins as part of a larger Markov Chain Monte Carlo (MCMC) analysis for the inference of cosmological parameters. The redshift bins are characterised by their mean and…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-02 Michael McLeod , Sreekumar T. Balan , Filipe B. Abdalla

We analyze the anisotropic two dimensional galaxy correlation function (2DCF) of the CMASS galaxy sample from the Sloan Digital Sky Survey Data Release 9 (DR9) of the Baryon Oscillation Spectroscopic Survey (BOSS) data. Modeling the 2DCF…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-19 Yun Wang

The cross-correlation between the cosmic microwave background (CMB) fields and matter tracers carries important cosmological information. In this paper, we forecast by a signal-to-noise ratio analysis the information contained in the…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-10 José R. Bermejo-Climent , Mario Ballardini , Fabio Finelli , Daniela Paoletti , Roy Maartens , José A. Rubiño-Martin , Luca Valenziano
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