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In several environmental applications data are functions of time, essentially con- tinuous, observed and recorded discretely, and spatially correlated. Most of the methods for analyzing such data are extensions of spatial statistical tools…

Methodology · Statistics 2011-06-28 Elvira Romano , Antonio Balzanella , Rosanna Verde

In this paper we present a novel method to identify and characterize stellar clusters deeply embedded in a dark molecular cloud. The method is based on measuring stellar surface density in wide-field infrared images using star counting…

Instrumentation and Methods for Astrophysics · Physics 2017-11-29 Marco Lombardi , Charles J. Lada , Joao Alves

The spatial-kinematic structure of 48 young star clusters and associations is investigated. Moran's $I$ statistic is used to quantify the degree of kinematic substructure in each region, and the results are compared to those expected…

Astrophysics of Galaxies · Physics 2024-05-10 Becky Arnold , Nicholas J. Wright

We present a set of 148 independent $N$-body simulations of globular clusters (GCs) computed using the code $\texttt{CMC}$ ($\texttt{Cluster Monte Carlo}$). At an age of $\sim10-13\,$Gyr, the resulting models cover nearly the full range of…

The evolution of a spherical single-mass star cluster is followed in detail up to core collapse by numerically solving the orbit-averaged two-dimensional Fokker-Planck equation in energy-angular momentum space. Velocity anisotropy is…

Astrophysics · Physics 2007-05-23 Koji Takahashi

Observations of star-forming regions provide snapshots in time of the star formation process, and can be compared with simulation data to constrain the initial conditions of star formation. In order to make robust inferences, different…

Astrophysics of Galaxies · Physics 2024-02-21 George A. Blaylock-Squibbs , Richard J. Parker

Globular clusters (GCs) are old massive star clusters that serve as `fossils' of galaxy formation. The advent of Gaia observatory has enabled detailed kinematics studies of the Galactic GCs and revolutionized our understanding of the…

Astrophysics of Galaxies · Physics 2022-07-12 Yingtian Chen , Oleg Y. Gnedin

We investigate the dynamical evolution of isolated equal-mass star cluster models by means of direct N-body simulations, primarily focusing on the effects of the presence of primordial anisotropy in the velocity space. We found evidence of…

Astrophysics of Galaxies · Physics 2017-08-16 Philip G. Breen , Anna Lisa Varri , Douglas C. Heggie

Clustering is a critical component of decision-making in todays data-driven environments. It has been widely used in a variety of fields such as bioinformatics, social network analysis, and image processing. However, clustering accuracy…

Machine Learning · Computer Science 2025-07-14 Krishnendu Das , Sumit Gupta , Awadhesh Kumar

HIRES on the Keck I telescope has been used to measure the first radial velocities for stars belonging to eleven, heavily-reddened globular clusters in the direction of the inner Galaxy. The question of kinematic substructuring among the…

Astrophysics · Physics 2011-03-28 Patrick Cote

Background. Recently, dynamic total-body positron emission tomography (PET) imaging has become possible due to new scanner devices. While clustering algorithms have been proposed for PET analysis already earlier, there is still little…

Applications · Statistics 2025-02-18 Oona Rainio , Maria K. Jaakkola , Riku Klén

Traditional k-means clustering underperforms on non-convex shapes and requires the number of clusters k to be specified in advance. We propose a simple geometric enhancement: after standard k-means, each cluster center is assigned a radius…

Machine Learning · Computer Science 2025-04-30 Stefan Kober

Critical phase transitions have proven to be a powerful concept to capture the phenomenology of many systems, including deeply non-equilibrium ones like living systems. The study of these phase transitions has overwhelmingly relied on…

Statistical Mechanics · Physics 2025-12-12 Leone V. Luzzatto , Mathias Casiulis , Stefano Martiniani , István A. Kovács

A number of globular clusters appear to have undergone core collapse, in the sense that their predicted collapse time is much shorter than their current age. Simulations using gas models and Fokker-Planck approximation have shown that the…

Astrophysics · Physics 2009-10-28 Junichiro Makino

A significant fraction of high redshift star-forming disc galaxies are known to host giant clumps, whose nature and role in galaxy evolution are yet to be understood. In this work we first present a new method based on neural networks to…

The size of the core is one of the main diagnostics of the evolutionary state of a globular cluster. Much has been learned over the last few years about the behavior of the core radius during and after core collapse, under a variety of…

Astrophysics · Physics 2007-05-23 Piet Hut

A sub-sampled deconvolution technique for crowded field photometry with the HST WFPC2 instrument was proposed by Butler (2000) and applied to search for optical counterparts to pulsars in globular clusters (Golden et al. 2001). Simulations…

Solar and Stellar Astrophysics · Physics 2013-06-05 Navtej Singh , Lisa-Marie Browne , Ray Butler

Dense cores, the progenitors of stars, are in sub-pc scale and fragmented from pc-scale clumps. However, it is still unclear that how strongly the fragmentation process is affected by the properties of the host clumps, and how these…

Astrophysics of Galaxies · Physics 2025-12-11 Wei-An Chen , Seamus D. Clarke , Ya-Wen Tang

Here we present HST WFPC2 imaging of 14 kinematically--distinct core ellipticals to examine their globular cluster systems. In particular, we probe the galaxy central regions, for which we might expect to see the strongest signatures of…

Astrophysics · Physics 2009-10-28 Duncan A. Forbes , Marijn Franx , Garth D. Illingworth , C. M. Carollo

We describe the public release of the Cluster Monte Carlo Code (CMC) a parallel, star-by-star $N$-body code for modeling dense star clusters. CMC treats collisional stellar dynamics using H\'enon's method, where the cumulative effect of…