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The initial shear field, characterized by a primordial perturbation potential, plays a crucial role in the formation of large scale structures. Hence, considerable analytic work has been based on the joint distribution of its eigenvalues,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Graziano Rossi

We investigate the nonlinear evolution of cosmic morphologies of the large-scale structure by examining the Lagrangian dynamics of various tensors of a cosmic fluid element, including the velocity gradient tensor, the Hessian matrix of the…

Cosmology and Nongalactic Astrophysics · Physics 2014-11-18 Xin Wang , Alex Szalay

As galaxy redshift surveys probe deeper into the universe, they uncover ever more dramatic structures in the large-scale distribution of galaxies. In particular, the CfA2 and SSRS2 surveys to an apparent magnitude limit of 15.5 exhibit an…

Astrophysics · Physics 2008-02-03 Sergei F. Shandarin

This study concerns an inventory of the gravitational force and tidal field induced by filaments, walls, cluster nodes and voids on Megaparsec scales and how they assemble and shape the Cosmic Web. The study is based on a N$_{\rm…

Cosmology and Nongalactic Astrophysics · Physics 2024-07-24 Roi Kugel , Rien van de Weygaert

Cold dark matter (CDM) can be thought of as a 2D (or 3D) sheet of particles in 4D (or 6D) phase-space due to its negligible velocity dispersion. The large-scale structure, also called the cosmic web, is thus a result of the topology of the…

Cosmology and Nongalactic Astrophysics · Physics 2025-10-01 Abineet Parichha , Stephane Colombi , Shohei Saga , Atsushi Taruya

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 phase space distribution of matter out to $\sim 100 \rm Mpc$ is probed by two types of observational data: galaxy redshift surveys and peculiar motions of galaxies. Important information on the process of structure formation and…

Cosmology and Nongalactic Astrophysics · Physics 2017-03-15 Adi Nusser

I review the nature of three-dimensional collapse in the Zeldovich approximation, how it relates to the underlying nature of the three-dimensional Lagrangian manifold and naturally gives rise to a hierarchical structure formation scenario…

Cosmology and Nongalactic Astrophysics · Physics 2016-10-20 Oliver Hahn

We numerically investigate the long--time evolution of density perturbations after the first appearance of caustics in an expanding cosmological model with one--dimensional `single--wave' initial conditions. Focussing on the time--intervals…

Astrophysics · Physics 2007-05-23 Taihei Yano , Hiroko Koyama , Thomas Buchert , Naoteru Gouda

The cosmic web is one of the most complex systems in nature, consisting of galaxies and clusters of galaxies joined by filaments and walls, leaving large empty regions called cosmic voids. The most common method of describing the web is a…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-05 Jaan Einasto

A new semianalytical model that explains the formation and sizes of the 'great walls' - the largest structures observed in the universe is suggested. Although the basis of the model is the Zel'dovich approximation it has been used in a new…

Astrophysics · Physics 2014-11-18 Sergei Shandarin

We present results for the cosmic non-linear density-fluctuation power spectrum based on the analytical formalism developed in [1] which allows us to study cosmic structure formation based on Newtonian particle dynamics in phase-space. This…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-22 Tristan Daus , Elena Kozlikin

The classification of the cosmic web into different environments is both a tool to study in more detail the formation of halos and galaxies via the link between their properties and the large-scale environment and as a class of objects…

Cosmology and Nongalactic Astrophysics · Physics 2025-01-22 Emma Ayçoberry , Alexandre Barthelemy , Sandrine Codis

In this work we present the first non-linear, non-Gaussian full Bayesian large scale structure analysis of the cosmic density field conducted so far. The density inference is based on the Sloan Digital Sky Survey data release 7, which…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 J. Jasche , F. S. Kitaura , C. Li , T. A. Ensslin

Studying the structures (halos and galaxies) within the cosmic environments (void, sheet, filament, and node) where they reside is an ongoing attempt in cosmological studies. The link between the properties of structures and the cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2024-12-03 Mohadese Khoshtinat , Hossein Hatamnia , Shant Baghram

We analyze the structure and connectivity of the distinct morphologies that define the Cosmic Web. With the help of our Multiscale Morphology Filter (MMF), we dissect the matter distribution of a cosmological $\Lambda$CDM N-body computer…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-19 Miguel A. Aragon-Calvo , Rien van de Weygaert , Bernard J. T. Jones

A dynamical classification of the cosmic web is proposed. The large scale environment is classified into four web types: voids, sheets, filaments and knots. The classification is based on the evaluation of the deformation tensor, i.e. the…

Astrophysics · Physics 2010-11-02 J. E. Forero-Romero , Y. Hoffman , S. Gottloeber , A. Klypin , G. Yepes

We apply kinetic field theory to non-linear cosmic structure formation. Kinetic field theory decomposes the cosmic density field into particles and follows their trajectories through phase space. We assume that initial particle momenta are…

Cosmology and Nongalactic Astrophysics · Physics 2022-08-24 Sara Konrad , Matthias Bartelmann

The local theory of the critical lines of 2D and 3D Gaussian fields that underline the cosmic structures is presented. In the context of cosmological matter distribution the subset of critical lines of the 3D density field serves to…

Astrophysics · Physics 2015-05-13 D. Pogosyan , C. Pichon , C. Gay , S. Prunet , J. F. Cardoso , T. Sousbie , S. Colombi