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High resolution surveys reveal that the interstellar medium in the Milky Way and nearby galaxies consists of interlinked hierarchies of filamentary structure and superbubbles extending from galactic to subpc scales. The characterization of…

Astrophysics of Galaxies · Physics 2025-08-20 Rachel Pillsworth , Erica Roscoe , Ralph E. Pudritz , Eric W. Koch

Modern cosmology predicts that matter in our Universe has assembled today into a vast network of filamentary structures colloquially termed the Cosmic Web. Because this matter is either electromagnetically invisible (i.e., dark) or too…

We derive, in order of magnitude, the observed astrophysical and cosmological scales in the Universe, from neutron stars to superclusters of galaxies, up to, asymptotically, the observed radius of the Universe. This result is obtained by…

Astrophysics · Physics 2007-05-23 S. Capozziello , S. De Martino , S. De Siena , F. Guerra , F. Illuminati

We develop a general theory for estimating the probability that a galaxy cluster of a given shape exists. The theory is based on the observed result that the distribution of galaxies is very close to quasi-equilibrium, in both its linear…

Cosmology and Nongalactic Astrophysics · Physics 2012-01-11 Abel Yang , William C. Saslaw

Maps of cosmic structure produced by galaxy surveys are one of the key tools for answering fundamental questions about the Universe. Accurate theoretical predictions for these quantities are needed to maximize the scientific return of these…

Cosmology and Nongalactic Astrophysics · Physics 2020-12-02 Noah Kasmanoff , Francisco Villaescusa-Navarro , Jeremy Tinker , Shirley Ho

The study of the properties of cosmic structures in the universe is one of the most fascinating subject of the modern cosmology research. Far from being predicted, the large scale structure of the matter distribution is a very recent…

Statistical Mechanics · Physics 2016-11-23 L. Pietronero , M. Bottaccio , M. Montuori , F. Sylos Labini

In the theoretical framework of hierarchical structure formation, galaxy clusters evolve through continuous accretion and mergers of substructures. Cosmological simulations have revealed the best picture of the Universe as a 3-D filamentary…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-18 Tejas Oak , Surajit Paul

The Large Scale Structure (LSS) found in galaxy redshift surveys and in computer simulations of cosmic structure formation shows a very complex network of galaxy clusters, filaments, and sheets around large voids. Here, we introduce a new…

Astrophysics · Physics 2008-11-26 J. M. Colberg

We present a unifying, consistent, finite-size-scaling picture for percolation theory bringing it into the framework of a general, renormalization-group-based, scaling scheme for systems above their upper critical dimensions $d_c$.…

Statistical Mechanics · Physics 2017-05-16 Ralph Kenna , Bertrand Berche

We present a novel graph-based machine learning classifier for identifying the dark matter cosmic web environments of galaxies. Large galaxy surveys offer comprehensive statistical views of how galaxy properties are shaped by large-scale…

Astrophysics of Galaxies · Physics 2026-04-02 Dakshesh Kololgi , Krishna Naidoo , Amelie Saintonge , Ofer Lahav

The future astronomical imaging surveys are set to provide precise constraints on cosmological parameters, such as dark energy. However, production of synthetic data for these surveys, to test and validate analysis methods, suffers from a…

The Large Scale Structure (LSS) in the galaxy distribution is investigated using the Sloan Digital Sky Survey Early Data Release (SDSS EDR). Using the Minimal Spanning Tree technique we have extracted sets of filaments, of wall-like…

Astrophysics · Physics 2009-11-07 A. Doroshkevich , D. L. Tucker , S. Allam

We use two high resolution CDM simulations to show that (i) when clusters of galaxies form the infall pattern of matter is not random but shows clear features which are correlated in time; (ii) in addition, the infall patterns are…

Astrophysics · Physics 2007-05-23 J. M. Colberg , S. D. M. White , A. Jenkins , F. R. Pearce

Filaments are crucial components of the cosmic web, representing the extensive and aligned distributions of galaxies and gas. Using the Five-hundred-meter Aperture Spherical radio Telescope (FAST), we report the detection of a filament in…

Cosmology and Nongalactic Astrophysics · Physics 2026-01-26 Jin-Long Xu , Ming Zhu , Peng Jiang , Nai-Ping Yu , Chuan-Peng Zhang , Xiao-Lan Liu , Mei Ai , Yin-Jie Jing , Jie Wang

We explore the capability of deep learning to classify cosmic structures. In cosmological simulations, cosmic volumes are segmented into voids, sheets, filaments and knots, according to the distribution and kinematics of dark matter (DM),…

Astrophysics of Galaxies · Physics 2022-08-03 Shigeki Inoue , Xiaotian Si , Takashi Okamoto , Moka Nishigaki

The secrecy graph is a random geometric graph which is intended to model the connectivity of wireless networks under secrecy constraints. Directed edges in the graph are present whenever a node can talk to another node securely in the…

Probability · Mathematics 2012-08-15 Amites Sarkar , Martin Haenggi

Observations indicate galaxies are distributed in a filament-dominated web-like structure; classic examples are the Coma and Perseus-Pisces superclusters. Numerical experiments at high and low redshift of viable structure formation theories…

Astrophysics · Physics 2007-05-23 J. Richard Bond , James W. Wadsley

For a given graph $H$, its subdivisions carry the same topological structure. The existence of $H$-subdivisions within a graph $G$ has deep connections with topological, structural and extremal properties of $G$. One prominent example of…

Combinatorics · Mathematics 2023-08-22 Seonghyuk Im , Jaehoon Kim , Younjin Kim , Hong Liu

Concentrations of matter, such as galaxies and galactic clusters, originated as very small density fluctuations in the early universe. The existence of galaxy clusters and super-clusters suggests that a natural scale for the matter…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Bruce N. Miller , Jean-Louis Rouet

We study large-scale structures from numerical simulations, paying particular attention to supercluster-like structures. A grid-density-contour based algorithm is adopted to locate connected groups. With the increase of the linking density…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Heling Yan , Zuhui Fan