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We apply the clustering algorithm HDBSCAN on the Gaia early third data release astrometry combined with the Gaia second data release radial velocity measurements of almost 5.5 million stars to identify the local stellar kinematic…

Astrophysics of Galaxies · Physics 2023-03-15 Xiaowei Ou , Lina Necib , Anna Frebel

Aims - We present the first results of a large spectroscopic survey of globular clusters and candidate globular clusters in the nearby M~31 galaxy. The survey is aimed at the classification of known candidate M~31 clusters and at the study…

Astrophysics · Physics 2009-11-11 S. Galleti , L. Federici , M. Bellazzini , A. Buzzoni , F. Fusi Pecci

The main result of this paper is a convexity theorem for momentum mappings of certain hamiltonian actions of noncompact semisimple Lie groups. The image is required to fall within a certain open subset D of the (dual of the) Lie algebra,…

Symplectic Geometry · Mathematics 2007-05-23 Alan Weinstein

To reveal small galaxy groups in the Local Supercluster, a new approach is suggested which allows for individual properties of galaxies. The criterion is based on the assumption of closed motions of companions around the dominating group…

Astrophysics · Physics 2007-05-23 D. I. Makarov , I. D. Karachentsev

We introduce an approach based on moving frames for polygon recognition and symmetry detection. We present detailed algorithms for recognition of polygons modulo the special Euclidean, Euclidean, equi-affine, skewed-affine and similarity…

Differential Geometry · Mathematics 2007-05-23 Mireille Boutin

We present a re-organization of the Oh et al. (2017b) (Oh17) wide, co-moving catalog of 4,555 groups of stars (10,606 individual objects) identified in the Tycho Gaia Astrometric Survey (TGAS) into new and known co evolving groups of stars…

The HI Parkes All-Sky Survey (HIPASS) gives an unprecedented view of the local large-scale structures in the southern sky. I will review the results from the HIPASS Bright Galaxy Catalog (BGC, Koribalski et al. 2004) and the first version…

Astrophysics · Physics 2007-05-23 B. S. Koribalski

A large number of candidate binary stars with apparent acceleration on the sky has emerged from analysis of astrometric data collected by the Hipparcos, Tycho-2, and Gaia space missions. Although the apparent acceleration can serve as a…

Solar and Stellar Astrophysics · Physics 2024-05-22 Valeri V. Makarov , Andrei Tokovinin

Aims. We are searching for new open clusters or moving groups in the Solar neighbourhood. Methods. We used the Gaia-TGAS catalogue, cut it into narrow proper motion and parallax slices and searched for significant spatial over-densities of…

Solar and Stellar Astrophysics · Physics 2018-06-20 Siegfried Röser , Elena Schilbach , Bertrand Goldman , Thomas Henning , Attila Moor , Aliz Derekas

The hierarchical formation of clusters of galaxies by accretion of material releases gravitational energy which dissipates into the intracluster gas. The process heats the material and generates gas turbulence and bulk motions and thus…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 J. Nevalainen

Aims. This work aims at constraining the masses and separations of potential substellar companions to five accelerating stars (HIP 1481, HIP 88399, HIP 96334, HIP 30314 and HIP 116063) using multiple data sets acquired with different…

Recent advances with the VLBA have resulted in ~10 micro-arcsec astrometry for compact sources in external galaxies, and measurement of the proper motion of Local Group galaxies has been demonstrated. With improved telescopes and equipment,…

Astrophysics of Galaxies · Physics 2009-03-10 M. J. Reid , A. Brunthaler , K. M. Menten , L. Loinard , J. Wrobel

The HI Parkes All-Sky Survey (HIPASS) Catalogue forms the largest uniform catalogue of HI sources compiled to date, with 4,315 sources identified purely by their HI content. The catalogue data comprise the southern region declination <+2…

The Local Group Census is a narrow- and broad-band survey of all the galaxies of the Local Group above dec = -30 deg, in progress at the 2.5m Isaac Newton telescope on La Palma. We discuss here the ability of the survey to detect symbiotic…

Astrophysics · Physics 2007-05-23 Laura Magrini , Romano L. M. Corradi , Ulisse Munari

We have undertaken a long term program to measure high precision proper motions of nearby Galactic globular cluster (GC) stars using multi-epoch observations with the WFPC2 and the ACS cameras on-board the Hubble Space Telescope. The proper…

Astrophysics · Physics 2007-05-23 L. R. Bedin , G. Piotto , J. Anderson , I. R. King

Autonomous robots are increasingly becoming a strong fixture in social environments. Effective crowd navigation requires not only safe yet fast planning, but should also enable interpretability and computational efficiency for working in…

In this paper, we introduce a novel method for extending Ricci flow to hypergraphs by defining probability measures on the edges and transporting them on the line expansion. This approach yields a new weighting on the edges, which proves…

Machine Learning · Computer Science 2025-10-30 Olympio Hacquard

We investigate invariants for random elements of different hyperbolic groups. We provide a method, using Cayley graphs of groups, to compute the probability distribution of the minimal length of a random word, and explicitly compute the…

Mathematical Physics · Physics 2007-05-23 Sergei Nechaev , Raphael Voituriez

Many complex flows such as those arising from ocean plastics in geophysics or moving cells in biology are characterized by sparse and noisy trajectory datasets. We introduce techniques for identifying Lagrangian Coherent Structures (LCSs)…

Fluid Dynamics · Physics 2022-09-21 Saviz Mowlavi , Mattia Serra , Enrico Maiorino , L Mahadevan

Sparse modelling or model selection with categorical data is challenging even for a moderate number of variables, because one parameter is roughly needed to encode one category or level. The Group Lasso is a well known efficient algorithm…

Methodology · Statistics 2022-11-14 Szymon Nowakowski , Piotr Pokarowski , Wojciech Rejchel , Agnieszka Sołtys