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[abridge]Cosmic velocity and tidal fields are important for the understanding of the cosmic web and the environments of galaxies, and can also be used to constrain cosmology. In this paper, we reconstruct these two fields in SDSS volume…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-30 Huiyuan Wang , H. J. Mo , Xiaohu Yang , Frank C. van den Bosch

As an alternative way of describing the cosmological velocity field, we discuss the evolution of rotational invariants constructed from the velocity gradient tensor. Compared with the traditional divergence-vorticity decomposition, these…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-16 Xin Wang , Alex Szalay , Miguel A. Aragon-Calvo , Mark C. Neyrinck , Gregory L. Eyink

The non-linear cosmic web environment of dark matter haloes plays a major role in shaping their growth and evolution, and potentially also affects the galaxies that reside in them. We develop an analytical (halo model) formalism to describe…

Cosmology and Nongalactic Astrophysics · Physics 2021-02-24 Aseem Paranjape

A review on the properties and dynamical origin and nature of the cosmic foam, the tenuous space-filling frothy network permeating the interior of the Universe. We discuss the properties of this striking and intriguing pattern, describing…

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

We apply discrete Morse theory, global topology, and persistent homology to characterize the impact of massive neutrinos on the multiscale cosmic web, focusing on filaments. The topology of the cosmic web is sensitive to neutrino imprints,…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-13 Graziano Rossi , Hogyun Yu , Michaël Michaux

Complex structures often emerge from initially homogeneous or weakly correlated states. We address the apparent tension between this ordering and entropy growth through a unified framework combining semi-microscopic phase-space dynamics,…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-27 Francisco-Shu Kitaura

The emergence of cosmic structure is commonly considered one of the most complex phenomena in Nature. However, this complexity has never been defined nor measured in a quantitative and objective way. In this work we propose a method to…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-29 Franco Vazza

The matter distribution in the Universe exhibits a rich variety of structures forming the cosmic web. These structures arise from the anisotropic gravitational collapse of primordial density fluctuations and define the pathways along which…

Astrophysics of Galaxies · Physics 2026-01-21 J. A. L. Aguerri , S. Zarattini

We present a method for decomposing the cosmological velocity field in a given volume into its divergent component due to the density fluctuations inside the volume, and its tidal component due to the matter distribution outside the volume.…

Astrophysics · Physics 2007-05-23 Y. Hoffman , A. Eldar , S. Zaroubi , A. Dekel

Clustering properties and peculiar velocities of halos in large-scale structure carry a wealth of cosmological information over a wide range of scales from linear to nonlinear scales. We use halo catalogs in a suite of high-resolution…

Cosmology and Nongalactic Astrophysics · Physics 2020-01-22 Yosuke Kobayashi , Takahiro Nishimichi , Masahiro Takada , Ryuichi Takahashi

The effective evolution of an inhomogeneous cosmological model may be described in terms of spatially averaged variables. We point out that in this context, quite naturally, a measure arises which is identical to a fluid model of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Akio Hosoya , Thomas Buchert , Masaaki Morita

We investigate the evolution of cosmic web since $z=5$ in grid based cosmological hydrodynamical simulations, focusing on the mass and velocity field of both baryonic and cold dark matter. The tidal tensor of density is used as the main…

Cosmology and Nongalactic Astrophysics · Physics 2017-09-05 Weishan Zhu , Long-Long Feng

In this research, we investigate the structural evolution of the cosmic web, employing advanced methodologies from Topological Data Analysis. Our approach involves leveraging LITE, an innovative method from recent literature that embeds…

Cosmology and Nongalactic Astrophysics · Physics 2024-01-09 Michael Etienne Van Huffel , Leonardo Aldo Alejandro Barberi , Tobias Sagis

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

We present the Smoothed Hessian Major Axis Filament Finder (SHMAFF), an algorithm that uses the eigenvectors of the Hessian matrix of the smoothed galaxy distribution to identify individual filamentary structures. Filaments are traced along…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 Nicholas A. Bond , Michael A. Strauss , Renyue Cen

We analyze a volume limited galaxy sample from the SDSS to study the environments of galaxies on different length scales in the local Universe. We measure the local dimension of the SDSS galaxies on different length scales and find that the…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-10 Suman Sarkar , Biswajit Pandey

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

Recent developments on holography and quantum information physics suggest that quantum information theory come to play a fundamental role in understanding quantum gravity. Cosmology, on the other hand, plays a significant role in testing…

High Energy Physics - Theory · Physics 2019-12-04 Chong-Bin Chen , Fu-Wen Shu

We use a 64$h^{-1}$Mpc dark matter (DM) only cosmological simulation to examine the large scale orientation of haloes and substructures with respect the cosmic web. A web classification scheme based on the velocity shear tensor is used to…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Noam I. Libeskind , Yehuda Hoffman , Alexander Knebe , Matthias Steinmetz , Stefan Gottlöber , Ofer Metuki , Gustavo Yepes

We develop a new model within which the radius-dependent transition of the subhalo inner spins with respect to the cosmic web and the variation of the transition threshold radius ($r_{\rm th}$) with subhalo mass ($M_{\rm vir}$), smoothing…

Cosmology and Nongalactic Astrophysics · Physics 2023-07-26 Jun-Sung Moon , Jounghun Lee