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Supermassive black holes at the centers of galaxies occasionally disrupt stars or consume stellar-mass black holes (BHs) that wander too close, producing observable electromagnetic or gravitational wave signals. We examine how mass…

High Energy Astrophysical Phenomena · Physics 2025-09-10 Barak Rom , Re'em Sari

The global structure of the minimal spanning tree (MST) is expected to be universal for a large class of underlying random discrete structures. However, very little is known about the intrinsic geometry of MSTs of most standard models, and…

Probability · Mathematics 2021-06-01 Louigi Addario-Berry , Sanchayan Sen

A complete understanding of real networks requires us to understand the consequences of the uneven interaction strengths between a system's components. Here we use the minimum spanning tree (MST) to explore the effect of weight assignment…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. J. Macdonald , E. Almaas , A. -L. Barabasi

We present a model to explain the mass segregation and shallow mass functions observed in the central parts of dense and young starburst stellar clusters. The model assumes that the initial pre-stellar cores mass function resulting from the…

Astrophysics · Physics 2007-11-30 Sami Dib , Mohsen Shadmehri , Maheswar Gopinathan , Jongsoo Kim , Thomas Henning

We discuss the statistical foundations of morphological star-galaxy separation. We show that many of the star-galaxy separation metrics in common use today (e.g. by SDSS or SExtractor) are closely related both to each other, and to the…

Instrumentation and Methods for Astrophysics · Physics 2020-01-29 Colin T. Slater , Željko Ivezić , Robert H. Lupton

We introduce Lumbermark, a robust divisive clustering algorithm capable of detecting clusters of varying sizes, densities, and shapes. Lumbermark iteratively chops off large limbs connected by protruding segments of a dataset's mutual…

Machine Learning · Computer Science 2026-04-09 Marek Gagolewski

We investigate the Initial Mass Function and mass segregation in super star cluster M82-F with high resolution Keck/NIRSPEC echelle spectroscopy. Cross-correlation with template supergiant spectra provides the velocity dispersion of the…

Astrophysics · Physics 2009-11-10 Nate McCrady , James R. Graham , William D. Vacca

We present the novel algorithmically regularised integration method MSTAR for high accuracy ($|\Delta E/E| \gtrsim 10^{-14}$) integrations of N-body systems using minimum spanning tree coordinates. The two-fold parallelisation of the…

Instrumentation and Methods for Astrophysics · Physics 2020-01-30 Antti Rantala , Pauli Pihajoki , Matias Mannerkoski , Peter H. Johansson , Thorsten Naab

In this article, we study the Euclidean minimum spanning tree problem in an imprecise setup. The problem is known as the \emph{Minimum Spanning Tree Problem with Neighborhoods} in the literature. We study the problem where the neighborhoods…

Computational Geometry · Computer Science 2021-04-12 Sanjana Dey , Ramesh K. Jallu , Subhas C. Nandy

Using multi-wavelength imaging from the Wide Field Camera 3 on the Hubble Space Telescope we study the stellar cluster populations of two adjacent fields in the nearby face-on spiral galaxy, M83. The observations cover the galactic centre…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 N. Bastian , A. Adamo , M. Gieles , H. J. G. L. M. Lamers , S. S. Larsen , E. Silva-Villa , L. J. Smith , R. Kotulla , I. S. Konstantopoulos , G. Trancho , E. Zackrisson

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

Muon scattering tomography (MST) is a non-destructive technique to image various materials by utilizing cosmic ray muons as probes. A typical MST system with a two-fold track detectors is particularly effective in detecting high-$Z$…

Instrumentation and Detectors · Physics 2023-08-22 Jiahui Chen , Huiling Li , Yiyue Li , Pingcheng Liu

Clusters of galaxies are powerful cosmological probes, particularly if their masses can be determined. One possibility for mass determination is to study the cosmic microwave background (CMB) on small angular scales and observe deviations…

Astrophysics · Physics 2009-11-10 Scott Dodelson

We study the stellar cluster population in two adjacent fields in the nearby, face-on spiral galaxy, M83, using WFC3/HST imaging. The clusters are selected through visual inspection to be centrally concentrated, symmetric, and resolved on…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 N. Bastian , A. Adamo , M. Gieles , E. Silva Villa , H. J. G. L. M Lamers , S. S. Larsen , L. J. Smith , I. S. Konstantopoulos , E. Zackrisson

We present a structural analysis of the young massive star cluster Westerlund 1 (Wd 1). With multi-epoch Hubble Space Telescope (HST) observations, we measure the proper motions of $10346$ stars and determine their kinematic memberships by…

We propose that observations of super-massive galaxies contain cosmological constraining power similar to conventional cluster cosmology, and we provide promising indications that the associated systematic errors are comparably easier to…

Cosmology and Nongalactic Astrophysics · Physics 2023-06-07 Enia Xhakaj , Alexie Leauthaud , Johannes Lange , Elisabeth Krause , Andrew Hearin , Song Huang , Risa H. Wechsler , Sven Heydenreich

We present a novel method for automatically detecting and characterising semi-resolved star clusters: clusters where the observational point-spread function (PSF) is smaller than the cluster's radius, but larger than the separations between…

The distribution of the number of clusters as a function of mass M and age T suggests that clusters get eroded or dispersed in a regular way over time, such that the cluster number decreases inversely as an approximate power law with T…

Astrophysics of Galaxies · Physics 2015-05-18 Bruce G. Elmegreen , Deidre A. Hunter

In length-constrained minimum spanning tree (MST) we are given an $n$-node graph $G = (V,E)$ with edge weights $w : E \to \mathbb{Z}_{\geq 0}$ and edge lengths $l: E \to \mathbb{Z}_{\geq 0}$ along with a root node $r \in V$ and a…

Data Structures and Algorithms · Computer Science 2026-02-12 D Ellis Hershkowitz , Richard Z Huang

We present core radii for 54 Milky Way globular clusters determined by fitting King-Michie models to cumulative projected star count distributions. We find that fitting star counts rather than surface brightness profiles produces results…

Astrophysics of Galaxies · Physics 2015-06-16 Ryan Goldsbury , Jeremy Heyl , Harvey Richer