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Power-law relations between tracers of baryonic mass and rotational velocities of disk galaxies, so-called Tully-Fisher relations (TFRs), offer a wealth of applications in galaxy evolution and cosmology. However, measurements of rotational…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Danail Obreschkow , Martin Meyer

We present an analytical model for density-split correlation functions, that probe galaxy clustering in different density environments. Specifically, we focus on the cross-correlation between density-split regions and the tracer density…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-23 Mathilde Pinon , Arnaud de Mattia , Étienne Burtin , Vanina Ruhlmann-Kleider , Sandrine Codis , Enrique Paillas , Carolina Cuesta-Lazaro

We investigate to which accuracy it is possible to recover the real-space two-point correlation function of galaxy clusters from cluster catalogues based on photometric redshifts, and test our ability to measure the redshift and mass…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-29 Srivatsan Sridhar , Sophie Maurogordato , Christophe Benoist , Alberto Cappi , Federico Marulli

We present the 2-point function from Fast and Accurate Spherical Bessel Transformation (2-FAST) algorithm for a fast and accurate computation of integrals involving one or two spherical Bessel functions. These types of integrals occur when…

Cosmology and Nongalactic Astrophysics · Physics 2018-01-17 Henry S. Grasshorn Gebhardt , Donghui Jeong

We present a method to obtain a high-significance detection of relativistic effects on cosmological scales. Measurements of such effects would be instrumental for our understanding of the Universe, as they would provide a further…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-19 Federico Montano , Stefano Camera

We propose a simple and accurate method for computing analytically the mass correlation function for cold dark matter and scale-free models that fits N-body simulations over a range that extends from the linear to the strongly non-linear…

Astrophysics · Physics 2009-10-31 R. R. Caldwell , Roman Juszkiewicz , Paul J. Steinhardt , Francois Bouchet

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

Two-phase composites with non-overlapping inclusions randomly embedded in matrix are investigated. A straight forward approach is applied to estimate the effective properties of random 2D composites. First, deterministic boundary value…

Mathematical Physics · Physics 2015-01-12 Vladimir Mityushev

While seemingly straightforward in principle, the reliable estimation of rate constants is seldom easy in practice. Numerous issues, such as the complication of poor reaction coordinates, cause obvious approaches to yield unreliable…

Data analysis methods have always been of critical importance for quantitative sciences. In astronomy, the increasing scale of current and future surveys is driving a trend towards a separation of the processes of low-level data reduction…

Instrumentation and Methods for Astrophysics · Physics 2011-09-07 James Bosch

We perform a detailed analysis of the covariance matrix of the spherically averaged galaxy power spectrum and present a new, practical method for estimating this within an arbitrary survey without the need for running mock galaxy…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-18 Cullan Howlett , Will J. Percival

We introduce a fast, high-precision algorithm for calculating intersections between great circle arcs and lines of constant latitude on the unit sphere. We first propose a simplified intersection point formula with improved speed and…

Numerical Analysis · Mathematics 2025-10-14 Hongyu Chen , Paul A. Ullrich , Julian Panetta

Modern observational and analytic techniques now enable the direct measurement of star formation histories and the inference of galaxy assembly histories. However, current theoretical predictions of assembly are not ideally suited for…

Astrophysics of Galaxies · Physics 2020-07-01 Thomas A. Davison , Mark A. Norris , Joel L. Pfeffer , Jonathan J. Davies , Robert A. Crain

We discuss the galaxy-galaxy-mass three-point correlation function and show how to measure it with weak gravitational lensing. The method entails choosing a large of pairs of foreground lens galaxies and constructing a mean shear map with…

Astrophysics · Physics 2009-11-10 David E. Johnston

We present a stable procedure for defining and measuring the two point angular autocorrelation function, w, of faint (25 < V < 29), barely resolved and unresolved sources in the HST GOODS and UDF datasets. We construct catalogs that include…

Astrophysics · Physics 2015-05-13 Eric Morganson , Roger Blandford

The Correlation Clustering problem is one of the most extensively studied clustering formulations due to its wide applications in machine learning, data mining, computational biology and other areas. We consider the Correlation Clustering…

Data Structures and Algorithms · Computer Science 2025-03-04 Jianqi Zhou , Zhongyi Zhang , Jiong Guo

Conventional estimators of the anisotropic power spectrum and two-point correlation function (2PCF) adopt the `Yamamoto approximation', fixing the line-of-sight of a pair of galaxies to that of just one of its members. Whilst this is…

Cosmology and Nongalactic Astrophysics · Physics 2021-06-16 Oliver H. E. Philcox , Zachary Slepian

Optical remote sensing imagery is indispensable for Earth observation, yet persistent cloud occlusion limits its downstream utility. Most cloud removal (CR) methods are optimized for low-level fidelity and can over-smooth textures and…

Computer Vision and Pattern Recognition · Computer Science 2026-04-29 Zaiyan Zhang , Jie Li , Shaowei Shi , Qiangqiang Yuan

Galaxy peculiar velocities provide an integral source of cosmological information that can be harnessed to measure the growth rate of large scale structure and constrain possible extensions to General Relativity. In this work, we present a…

Cosmology and Nongalactic Astrophysics · Physics 2022-11-30 Ryan J. Turner , Chris Blake , Rossana Ruggeri

We calculate the angular correlation function of galaxies in the Two Micron All Sky Survey. We minimize the possible contamination by stars, dust, seeing and sky brightness by studying their cross correlation with galaxy density, and…

Astrophysics · Physics 2009-11-07 Ariyeh H. Maller , Daniel H. McIntosh , Neal Katz , Martin D. Weinberg