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On the basis of a model system of pillars built of unit cubes, a two-component entropic measure for the multiscale analysis of spatio-compositional inhomogeneity is proposed. It quantifies the statistical dissimilarity per cell of the…

Statistical Mechanics · Physics 2015-05-13 Ryszard Piasecki

We introduce a new framework to analyze shape descriptors that capture the geometric features of an ensemble of point clouds. At the core of our approach is the point of view that the data arises as sampled recordings from a metric…

Statistics Theory · Mathematics 2024-09-11 Anne van Delft , Andrew J. Blumberg

To study the global morphology of the galaxy distribution in our local neighbourhood we calculate the Minkowski functionals for a sequence of volume limited samples within a sphere of 8 Mpc centred on our galaxy. The well known strong…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 M. Kerscher , A. Tikhonov

While galaxy cluster catalogs were compiled many decades ago, other structural elements of cosmic web are detected at definite level only in the newest works. For example, extragalactic filaments were described by velocity field and SDSS…

Cosmology and Nongalactic Astrophysics · Physics 2018-12-19 A. V. Tugay

Our work is concerned with simplicial complexes that describe higher-order interactions in real complex systems. This description allows to go beyond the pairwise node-to-node representation that simple networks provide and to capture a…

Statistical Mechanics · Physics 2025-11-13 Sara Najem , Dima Mrad , Mohammad Elsayed

The refined composite multiscale-entropy algorithm was applied to the time-dependent behavior of the Weierstrass functions, colored noise, and Logistic map to provide fresh insight into the dynamics of these fluctuating phenomena. For the…

Data Analysis, Statistics and Probability · Physics 2018-10-17 Jamieson Brechtl , Xie Xie , Karen A. Dahmen , Peter K. Liaw

We present the result of a decomposition of the 2dFGRS galaxy overdensity field into an orthonormal basis of spherical harmonics and spherical Bessel functions. Galaxies are expected to directly follow the bulk motion of the density field…

(abridged) In this paper we derive observed and modelled shape parameters (apparent ellipticity and orientation of the ellipse) of 650 Galactic open clusters identified in the ASCC-2.5 catalogue. We provide the observed shape parameters of…

We investigate the photometric properties of 456 bright galaxies using imaging data recorded during the commissioning phase of the Sloan Digital Sky Survey (SDSS). Morphological classification is carried out by correlating results of…

Astrophysics · Physics 2009-07-09 K. Shimasaku , M. Fukugita , M. Doi , M. Hamabe , T. Ichikawa , S. Okamura , M. Sekiguchi , N. Yasuda

Over two decades of astrometric and radial velocity data of short period stars in the Galactic center have the potential to provide unprecedented tests of General Relativity and insight into the astrophysics of supermassive black holes.…

Astrophysics of Galaxies · Physics 2017-02-22 Gregory Martinez , Kelly Kosmo , Aurelien Hees , Joseph Ahn , Andrea Ghez

We present a nonparametric morphology analysis of the stellar continuum and nebular emission lines for a sample of local galaxies. We explore the dependence of the various morphological parameters on wavelength and morphological type. Our…

Astrophysics of Galaxies · Physics 2023-05-10 Angelos Nersesian , Stefano Zibetti , Francesco D'Eugenio , Maarten Baes

An increasing abstraction has marked some recent investigations in network science. Examples include the development of algorithms that map time series data into networks whose vertices and edges can have different interpretations, beyond…

Physics and Society · Physics 2020-11-24 Arthur A. B. Pessa , Haroldo V. Ribeiro

The simulated matter distribution on large scales is studied using core-sampling, cluster analysis, inertia tensor analysis, and minimal spanning tree techniques. Seven simulations in large boxes for five cosmological models with COBE…

Astrophysics · Physics 2011-07-19 A. G. Doroshkevich , V. Müller , J. Retzlaff , V. Turchaninov

Orbit superposition models are a non-parametric dynamical modelling technique to determine the mass of a galaxy's central supermassive black hole (SMBH), its stars, or its dark-matter halo. One of the main problems is how to decide which…

Astrophysics of Galaxies · Physics 2021-04-28 Mathias Lipka , Jens Thomas

One of the continuing challenges in cosmology has been to determine the large-scale space-time metric from observations with a minimum of assumptions -- without, for instance, assuming that the universe is almost…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 M. E. Araujo , W. R. Stoeger

The question of the nature of galaxy clustering and the possible homogeneity of galaxy distribution is one of the fundamental problem of cosmology. It is well established that galaxy structures are characterized, up to a certain scale, by…

Astrophysics · Physics 2007-05-23 Francesco Sylos Labini , Luciano Pietronero

We employ several galaxy formation models, in particular, L-GALAXIES, IllustrisTNG, and EAGLE, as well as observational samples from SDSS and DESI, to investigate galactic conformity, the observed large-scale correlation between the…

Astrophysics of Galaxies · Physics 2022-12-21 Mohammadreza Ayromlou , Guinevere Kauffmann , Abhijeet Anand , Simon D. M. White

Cosmological information is encoded in the structure of galaxy clusters. In Universes with less matter and larger initial density perturbations, clusters form earlier and have more time to accrete material, leading to a more extended infall…

In this paper a relative number density parameter, called the neighborhood function, is introduced so that the crowded nature of the neighborhood of individual sources can be described. With this parameter one can determine the probability…

Astrophysics · Physics 2009-11-13 Yi-Ping Qin , Lian-Zhong Lv , Fu-Wen Zhang , Bin-Bin Zhang , Jin Zhang

Context. The main feature of the spatial large-scale galaxy distribution is an intricate network of galaxy filaments. Although many attempts have been made to quantify this network, there is no unique and satisfactory recipe for that yet.…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 R. S. Stoica , V. J. Martinez , E. Saar
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