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Principal component analysis (PCA) is a widespread technique for data analysis that relies on the covariance-correlation matrix of the analyzed data. However to properly work with high-dimensional data, PCA poses severe mathematical…

Quantitative Methods · Quantitative Biology 2018-10-18 Luigi Leonardo Palese

We make use of $N$-body simulations to determine the relationship between two observable parameters that are used to quantify mass segregation and energy equipartition in star clusters. Mass segregation can be quantified by measuring how…

Astrophysics of Galaxies · Physics 2016-10-12 Jeremy J. Webb , Enrico Vesperini

(Abridged)We present a combined analysis of mass estimates in the central cores of galaxy clusters from the strong lensing, the X-ray measurements and the universal density profile (NFW). Special attention is paid to the questions…

Astrophysics · Physics 2009-10-31 Xiang-Ping Wu

Cluster analysis is the distribution of objects into different groups or more precisely the partitioning of a data set into subsets (clusters) so that the data in subsets share some common trait according to some distance measure. Unlike…

Cosmology and Nongalactic Astrophysics · Physics 2013-09-17 Tuli De , Didier Fraix-Burnet , Asis Kumar Chattopadhyay

We study a sample of 19 galaxy clusters in the redshift range $0.15<z<0.30$ with highly complete spectroscopic membership catalogues (to $K < K^{\ast}(\rm z)+1.5$) from the Arizona Cluster Redshift Survey (ACReS); individual weak-lensing…

Cosmology and Nongalactic Astrophysics · Physics 2017-10-11 Sarah L. Mulroy , Sean L. McGee , Steven Gillman , Graham P. Smith , Chris P. Haines , Jessica Democles , Nobuhiro Okabe , Eiichi Egami

We present a statistical comparison of three different estimates of cluster mass, namely, the dynamical masses obtained from the velocity dispersion of optical galaxies, the X-ray masses measured from the temperature of X-ray emitting gas…

Astrophysics · Physics 2009-10-30 Xiang-Ping Wu , Li-Zhi Fang

Despite consistent progress in numerical simulations, the observable properties of galaxy clusters are difficult to predict ab initio. It is therefore important to compare both theoretical and observational results to a direct measure of…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Henk Hoekstra , Matthias Bartelmann , Haakon Dahle , Holger Israel , Marceau Limousin , Massimo Meneghetti

The properties of clusters of galaxies offer key insights into the assembly process of structure in the universe. Numerical simulations of cosmic structure formation in a hierarchical, dark matter dominated universe suggest that galaxy…

Astrophysics · Physics 2008-11-26 Julia M. Comerford , Priyamvada Natarajan

Galaxy clusters are important cosmological probes since their abundance and spatial distribution are directly linked to structure formation on large scales. The principal uncertainty source on the cosmological parameter constraints concerns…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-06 M. Penna-Lima

The Planck Collaboration has shown that the number of clusters as a function of their mass and redshift is an extremely powerful tool for cosmological analyses. However, the true cluster mass is not directly measurable. Among the possible…

Cosmology and Nongalactic Astrophysics · Physics 2022-02-09 Antonio Ferragamo , Marco De Petris , Gustavo Yepes , Juan Macías-Pérez , Weiguang Cui , Alejandro Jiménez-Muñoz

We propose a spectral clustering method based on local principal components analysis (PCA). After performing local PCA in selected neighborhoods, the algorithm builds a nearest neighbor graph weighted according to a discrepancy between the…

Machine Learning · Statistics 2019-04-09 Ery Arias-Castro , Gilad Lerman , Teng Zhang

Advancements in theoretical simulations of mass gap objects, particularly those resulting from neutron star mergers and massive pulsars, play a crucial role in addressing the challenges of measuring neutron star radii. In the light of this,…

High Energy Astrophysical Phenomena · Physics 2025-01-03 S. K. Maurya , A. Errehymy , Ksh. Newton Singh , G. Mustafa , Saibal Ray

The use of galaxy clusters as cosmological probes hinges on our ability to measure their masses accurately and with high precision. Hydrostatic mass is one of the most common methods for estimating the masses of individual galaxy clusters,…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-12 Kaylea Nelson , Erwin T. Lau , Daisuke Nagai , Douglas H. Rudd , Liang Yu

We present the clustering of galaxy clusters as a useful addition to the common set of cosmological observables. The clustering of clusters probes the large-scale structure of the Universe, extending galaxy clustering analysis to the…

Cosmology and Nongalactic Astrophysics · Physics 2014-02-03 Annalisa Mana , Tommaso Giannantonio , Jochen Weller , Ben Hoyle , Gert Huetsi , Barbara Sartoris

We present the results of a new study of mass segregation in two-component star clusters, based on a large number of numerical N-body simulations using our recently developed dynamical Monte Carlo code. Specifically, we follow the dynamical…

Astrophysics · Physics 2009-11-07 J. M. Fregeau , K. J. Joshi , S. F. Portegies Zwart , F. A. Rasio

Analysing the weak lensing distortions of the images of faint background galaxies provides a means to constrain the average mass distribution of cluster galaxies and potentially to test the extent of their dark matter haloes as a function…

Astrophysics · Physics 2009-10-30 Bernhard Geiger , Peter Schneider

We review recent advancements in cosmology with galaxy clusters. Galaxy clusters are the most massive objects in the Universe. Consequently the cluster number density as a function of cluster mass, or cluster abundance, is sensitive to…

Cosmology and Nongalactic Astrophysics · Physics 2025-05-13 Hironao Miyatake

N-body + hydrodynamic simulations of galaxy clusters are used to demonstrate a correlation between galaxy cluster mass and the strength of the Sunyaev-Zel'dovich (SZ) effect induced by the cluster. The intrinsic scatter in the correlaton is…

Astrophysics · Physics 2007-05-23 Christopher A. Metzler

(Abridged) We quantify the bias and scatter in galaxy cluster masses and concentrations derived from an idealised mock weak gravitational lensing (WL) survey, and their effect on the cluster mass-concentration relation. For this, we…

Cosmology and Nongalactic Astrophysics · Physics 2012-05-14 Yannick M. Bahé , Ian G. McCarthy , Lindsay J. King

The X-ray morphologies of clusters of galaxies display significant variations, reflecting their dynamical histories and the nonlinear dependence of X-ray emissivity on the density of the intracluster gas. Qualitative and quantitative…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-02 Maya Benyas , Jordan Pfeifer , Adam B. Mantz , Steven W. Allen , Elise Darragh-Ford