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We consider the problem of clustering data points in high dimensions, i.e. when the number of data points may be much smaller than the number of dimensions. Specifically, we consider a Gaussian mixture model (GMM) with non-spherical…

Statistics Theory · Mathematics 2014-06-10 Martin Azizyan , Aarti Singh , Larry Wasserman

We present the results of the analysis of deep photometric data of 32 Galactic globular clusters. We analysed 69 parallel field images observed with the Wide Field Channel of the Advanced Camera for Surveys of the Hubble Space Telescope…

Astrophysics of Galaxies · Physics 2020-04-22 H. Ebrahimi , A. Sollima , H. Haghi , H. Baumgardt , M. Hilker

A test of Newton's law of gravity in the low acceleration regime using globular clusters is presented. New results for the core collapsed globular cluster NGC 7099 are given. The run of the gravitational potential as a function of distance…

Astrophysics · Physics 2009-11-11 Riccardo Scarpa , Gianni Marconi , Roberto Gilmozzi , Giovanni Carraro

We use high resolution dissipationless N-body simulations to examine the spatial distribution of galaxy clusters on large scales. The Standard CDM model and two of its main competitors, Low density CDM and Mixed Dark Matter are compared.The…

Astrophysics · Physics 2007-05-23 R. A. C. Croft , G. Efstathiou

The mass measurement of galaxy clusters is an important tool for the determination of cosmological parameters describing the matter and energy content of the Universe. However, the standard methods rely on various assumptions about the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 Martina Falco , Steen H. Hansen , Radoslaw Wojtak , Thejs Brinckmann , Mikkel Lindholmer , Stefania Pandolfi

We present an analytic method for rapidly forecasting the accuracy of gravitational potential reconstruction possible from measurement of radial peculiar velocities of every galaxy cluster with M > M_th in solid angle \theta^2 and over…

Astrophysics · Physics 2009-11-07 Olivier Doré , Lloyd Knox , Alan Peel

We present new measurements of the centers for 65 Milky Way globular clusters. Centers were determined by fitting ellipses to the density distribution within the inner $2\arcmin$ of the cluster center, and averaging the centers of these…

Astrophysics of Galaxies · Physics 2015-05-19 Ryan Goldsbury , Harvey B. Richer , Jay Anderson , Aaron Dotter , Ata Sarajedini , Kristin Woodley

We study the statistical properties of the gravitational field generated by galaxy distribution observed bythe Sloan Digital Sky Survey (DR7). We characterize the probability density function of gravitational force fluctuations and relate…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Francesco Sylos Labini

We present an algorithm designed to identify galaxy (proto)clusters in wide-area photometric surveys by first selecting their dominant galaxy-i.e., the Brightest Cluster Galaxy (BCG) or protoBCG-through the local stellar mass density traced…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-14 Marcelo C. Vicentin , Pablo Araya-Araya , Laerte Sodré , Michael A. Strauss

The properties of large underdensities in the distribution of galaxies in the Universe, known as cosmic voids, are potentially sensitive probes of fundamental physics. We use data from the MultiDark suite of N-body simulations and multiple…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-24 Seshadri Nadathur , Shaun Hotchkiss , Robert Crittenden

The distribution of local gravitational potentials generated by a complete volume-limited sample of galaxy groups and clusters filling the Corona Borealis region has been derived to search for new gravitational hints in the context of…

Cosmology and Nongalactic Astrophysics · Physics 2016-05-25 Giovanni C. Baiesi Pillastrini

Rapid and robust parameter estimation of gravitational-wave sources is a key component of modern multi-messenger astronomy. We present a novel and straightforward method for rapid parameter estimation of gravitational-wave sources that uses…

Instrumentation and Methods for Astrophysics · Physics 2025-07-31 Alexander Harvey Nitz

Could the velocity spread, increasing with time, in the Galactic disk be explained as a result of gravitational interactions of stars with giant molecular clouds (GMCs) and spiral arms? Do the old open clusters high above the Galactic plane…

Astrophysics of Galaxies · Physics 2016-09-28 Bengt Gustafsson , Ross Church , Melvyn B. Davies , Hans Rickman

Near-future surveys promise a dramatic improvement in the number and precision of astrometric, photometric and spectroscopic measurements of stars in the Milky Way's disk. We examine the impact of such surveys on our understanding of the…

Astrophysics of Galaxies · Physics 2009-06-25 T. Sumi , K. V. Johnston , S. Tremaine , D. N. Spergel , S. R. Majewski

Globular clusters (GCs) lie scattered around the inner $40\%$ of the virial radius of galaxy clusters, potentially being excellent tracers of the underlying mass distribution. In this paper, we present a statistical method based on assuming…

Astrophysics of Galaxies · Physics 2026-05-21 Marta Reina-Campos , Joshua S. Speagle , William E. Harris

Globular clusters (GCs) are bright objects that span a wide range of galactocentric distances, and are thus probes of the structure of dark matter (DM) haloes. In this work, we explore whether the projected radial profiles of GCs can be…

We propose the novel method of ``gravitational imaging'' to detect and quantify luminous and dark-matter substructure in gravitational-lens galaxies. The method utilizes highly-magnified Einstein rings and arcs as sensitive probes of small…

Astrophysics · Physics 2015-06-24 L. V. E. Koopmans

Galaxy cluster peculiar velocities can be inferred from high-sensitivity, high-resolution multiple-frequency observations in the 30 to 400 GHz range. While galaxy cluster counts and power spectra are sensitive to the growth factor, peculiar…

Astrophysics · Physics 2009-11-07 A. Peel , L. Knox

The proper motions of stars in the outskirts of globular clusters are used to estimate cluster velocity dispersion profiles as far as possible within their tidal radii. We use individual color-magnitude diagrams to select high probability…

Astrophysics of Galaxies · Physics 2021-12-08 Raymond G. Carlberg , Carl J. Grillmair

Traditional clustering algorithms often struggle with high-dimensional and non-uniformly distributed data, where low-density boundary samples are easily disturbed by neighboring clusters, leading to unstable and distorted clustering…

Machine Learning · Computer Science 2025-10-28 Qi Li , Jun Wang