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The cosmic web consists of a nested hierarchy of structures: voids, walls, filaments, and clusters. These structures interconnect and can encompass one another, collectively shaping an intricate network. Here we introduce the Hierarchical…

Cosmology and Nongalactic Astrophysics · Physics 2023-08-31 M. A. Aragon-Calvo

We review the analysis of the Cosmic Web by means of an extensive toolset based on the use of Delaunay and Voronoi tessellations. The Cosmic Web is the salient and pervasive foamlike pattern in which matter has organized itself on scales of…

Instrumentation and Methods for Astrophysics · Physics 2009-12-18 Rien van de Weygaert , Miguel A. Aragon-Calvo , Bernard J. T. Jones , Erwin Platen

We present DisPerSE, a novel approach to the coherent multi-scale identification of all types of astrophysical structures, and in particular the filaments, in the large scale distribution of matter in the Universe. This method and…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-20 Thierry Sousbie

The large scale galaxy and matter distribution is often described by means of the cosmic web made up of voids, sheets, filaments and knots. Many different recipes exist for identifying this cosmic web. Here we focus on a sub-class of cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-08 Simon Pfeifer , Noam I. Libeskind , Yehuda Hoffman , Wojciech A. Hellwing , Maciej Bilicki , Krishna Naidoo

We discuss the intimate relationship between the filamentary features and the rare dense compact cluster nodes in this network, via the large scale tidal field going along with them, following the cosmic web theory developed Bond et al. The…

Astrophysics · Physics 2007-05-23 Rien van de Weygaert

The large-scale structure of the universe is comprised of virialized blob-like clusters, linear filaments, sheet-like walls and huge near empty three-dimensional voids. Characterizing the large scale universe is essential to our…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-06 Nithin Shivshankar , Pratyush Pranav , Vijay Natarajan , Rien van de Weygaert , E G Patrick Bos , Steven Rieder

Voids possess a very complex internal structure and dynamics. Using $N$-body simulations we study the hierarchical nature of sub-structures present in the cosmic web (CW). We use the SpineWeb method which provides a complete…

Astrophysics of Galaxies · Physics 2025-02-25 Mariana Jaber , Marius Peper , Wojciech A. Hellwing , Miguel Angel Aragon-Calvo , Octavio Valenzuela

The cosmic web that characterizes the large-scale structure of the Universe can be quantified by a variety of methods. For example, large redshift surveys can be used in combination with point process algorithms to extract long curvilinear…

Cosmology and Nongalactic Astrophysics · Physics 2015-09-16 Noam I. Libeskind , Elmo Tempel , Yehuda Hoffman , R. Brent Tully , Helene Courtois

The large-scale structure of the Universe is characterised by a web-like structure made of voids, sheets, filaments, and knots. The structure of this so-called cosmic web is dictated by the local velocity shear tensor. In particular, the…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-16 E. Tempel , N. I. Libeskind , Y. Hoffman , L. J. Liivamägi , A. Tamm

We introduce the NEXUS algorithm for the identification of Cosmic Web environments: clusters, filaments, walls and voids. This is a multiscale and automatic morphological analysis tool that identifies all the cosmic structures in a scale…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-11 Marius Cautun , Rien van de Weygaert , Bernard J. T. Jones

In this paper we explore the use of spatial clustering algorithms as a new computational approach for modeling the cosmic web. We demonstrate that such algorithms are efficient in terms of computing time needed. We explore three distinct…

Instrumentation and Methods for Astrophysics · Physics 2022-09-14 Dimitrios Kelesis , Spyros Basilakos , Vicky Papadopoulou Lesta , Dimitris Fotakis , Andreas Efstathiou

A method to compute the full hierarchy of the critical subsets of a density field is presented. It is based on a watershed technique and uses a probability propagation scheme to improve the quality of the segmentation by circumventing the…

Astrophysics · Physics 2009-11-13 T. Sousbie , S. Colombi , C. Pichon

We report on two quantitative, morphological estimators of the filamentary structure of the Cosmic Web, the so-called global and local skeletons. The first, based on a global study of the matter density gradient flow, allows us to study the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-20 Christophe Pichon , Christophe Gay , Dmitry Pogosyan , Simon Prunet , Thierry Sousbie , Stephane Colombi , Adrianne Slyz , Julien Devriendt

The cosmic web is one of the most striking features of the distribution of galaxies and dark matter on the largest scales in the Universe. It is composed of dense regions packed full of galaxies, long filamentary bridges, flattened sheets…

We study the cosmological information contained in the cosmic web, categorized as four structure types: nodes, filaments, walls, and voids, using the Quijote simulations and a modified nexus+ algorithm. We show that splitting the density…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-15 James Sunseri , Adrian E. Bayer , Jia Liu

The latticework structure known as the cosmic web provides a valuable insight into the assembly history of large-scale structures. Despite the variety of methods to identify the cosmic web structures, they mostly rely on the assumption that…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-26 Yikun Zhang , Rafael S. de Souza , Yen-Chi Chen

The spatial cosmic matter distribution on scales of a few up to more than a hundred Megaparsec displays a salient and pervasive foamlike pattern. Voronoi tessellations are a versatile and flexible mathematical model for such weblike spatial…

Astrophysics · Physics 2007-07-20 Rien van de Weygaert

The lecture notes describe the Delaunay Tessellation Field Estimator for Cosmic Web analysis. The high sensitivity of Voronoi/Delaunay tessellations to the local point distribution is used to obtain estimates of density and related…

Astrophysics · Physics 2017-03-08 Rien van de Weygaert , Willem Schaap

The network of filaments with embedded clusters surrounding voids seen in maps derived from redshift surveys and reproduced in simulations has been referred to as the cosmic web. A complementary description is provided by considering the…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-23 Daniel Pomarede , Yehuda Hoffman , Helene M Courtois , R. Brent Tully

The cosmic web consists of a complex configuration of voids, walls, filaments, and clusters, which formed under the gravitational collapse of Gaussian fluctuations. Understanding under what conditions these different structures emerge from…

Cosmology and Nongalactic Astrophysics · Physics 2023-03-08 Job Feldbrugge , Rien van de Weygaert
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