arXiv subjects

Jaan Einasto

Publications and source records attributed to Jaan Einasto.

At least 19 recordsLinked to original sources

arXiv2026

Fractal properties of the cosmic web

The cosmic web is one of the most complex systems in nature, consisting of galaxies and clusters of galaxies connected by filaments and walls, and separated by large empty regions known as cosmic voids. The most common method for describing the web is the correlation function and its derivative, the structure function and fractal dimension function. In this paper I review the fractal properties of the cosmic web within the concordance ΛCDM framework. I describe how the fractal function is derived from the angular and spatial distributions of galaxies and discuss the relations between these approaches.

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arXiv2025

The richest clusters in the Coma and Leo superclusters: Properties and evolution

We study the substructure, connectivity, and galaxy content of galaxy clusters A1656 and 1367 in the Coma supercluster and of A1185 in the Leo supercluster with the aim of understanding the evolution of clusters from turnaround to virialisation. We used data from the SDSS DR10 MAIN galaxy sample and from DESI cluster catalogues. The projected phase space diagram and the distribution of mass were used to identify regions of various infall stages (early and late infall, and regions of ongoing infall, i.e. regions of influence), their characteristic radii, embedded mass, and density contrasts in order to study the evolution of clusters with the spherical collapse model. We determined the substructure of clusters using normal mixture modelling and their connectivity by counting filaments in the cluster's regions of influence, analysed galaxy content of clusters, and derived scaling relations between cluster masses. All three clusters have a substructure with two to five components and up to six filaments connected to them. The radii of regions of influence are $R_\mathrm{inf} \approx 4$ Mpc, and the density contrast at their borders is $Δρ_{inf} \approx 50 - 60$. The scaling relations between the masses of clusters have a very small scatter. The galaxy content of the clusters and of their regions of influence vary from cluster to cluster. In superclusters the percentage of quiescent galaxies is higher than in low-density regions between superclusters. The collapse of the regions of influence of clusters started at redshifts $z \approx 0.4 - 0.5$. Clusters will be virialised in $\approx 3.3$ Gyrs. Clusters in superclusters will not merge, and their present-day turnaround regions will be virialised in $\approx 10$ Gyrs. The large variety of properties of clusters suggests that they have followed different paths during evolution.

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arXiv2025

Fractal Properties of the Cosmic Web

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 correlation function and its derivative, the fractal function. In this paper, I provide a review of the fractal properties of the cosmic web from the observational point of view within the Newtonian concordance $Λ$CDM Universe framework. I give a brief history of fractal studies of the Universe. I then describe the derivation of the fractal function from angular and spatial distributions of galaxies and their relations. Correlation functions are not sensitive to the shape of the galaxy distribution. To improve our quantitative understanding of properties of the web, statistics must be used which are sensitive to the pattern of the web.

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arXiv2023

Galaxy groups and clusters and their brightest galaxies within the cosmic web

Our aim is to combine data on single galaxies, galaxy groups, their BGGs, and their location in the cosmic web, to determine classes of groups, and to obtain a better understanding of their properties and evolution. Data on groups and their BGGs are based on the Sloan Digital Sky Survey DR10 MAIN spectroscopic galaxy sample. We characterize the group environments by the luminosity-density field and their filament membership. We divide BGGs according to their star formation properties as quenched, and red and blue star-forming galaxies. We apply multidimensional Gaussian mixture modelling to divide groups based on their properties and environments. We analyse the offset of BGGs with respect to the group centre, and the relation between the stellar velocity dispersion of BGGs and the group velocity dispersions. We show that the groups in our sample can be divided into two main classes: high-luminosity rich groups and clusters, and low-luminosity poor groups with threshold luminosity $L = 15 \times 10^{10} h^{-2} L_{sun}$ and mass $M = 23 \times 10^{12} h^{-1} M_{sun}$. In rich clusters approximately 90% of the BGGs are red and quenched galaxies, while in poor groups only 40- 60$% of BGGs are red and quenched, and the rest of the BGGs are star-forming, either blue (20 - 40% of BGGs) or red (17% of BCGs). Rich groups and clusters are located in global high-density regions in filaments or filament outskirts, while poor groups reside everywhere in the cosmic web. Our results suggest that group and cluster properties are modulated by their location in the cosmic web, but the properties of their BGGs are mostly determined by processes within group or cluster dark matter halo. We emphasize the role of superclusters as a special environment for group growth.

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arXiv2023

Death at watersheds: galaxy quenching in low-density environments

Our aim is to understand the effect of environment to galaxy quenching in various local and global environments. We focus on galaxies with very old stellar populations (VO galaxies), typically found in the centers of clusters and groups, and search for such galaxies in the lowest global density environments, watersheds between superclusters. We use the Sloan Digital Sky Survey MAIN galaxy sample to calculate the luminosity-density field and get global density field, to determine groups and filaments, and to obtain data on galaxy properties. We divide groups into low- and high-luminosity groups based on the highest luminosity of groups in the watershed region, $L_{gr} = 15 \times10^{10} h^{-2} L_{sun}$. Our study shows that the global density is most strongly related to the richness of galaxy groups. Its influence on the overall star formation quenching in galaxies is less strong. Correlations between the morphological properties of galaxies and the global density field are the weakest. The watershed regions are populated mostly by single galaxies (70% of all galaxies there), and by low-luminosity groups. Still, approximately one-third of all galaxies in the watershed regions are VO galaxies. They have lower stellar masses, smaller stellar velocity dispersions, and stellar populations that are up to 2Gyr younger than those of VO galaxies in other global environments. In higher density global environments, the morphological properties of galaxies are very similar. Differences in galaxy properties are the largest between satellites and brightest group galaxies. Our results suggest that galaxy evolution is determined by the birthplace of galaxies in the cosmic web, and mainly by internal processes which lead to the present-day properties of galaxies. This may explain the similarity of (VO) galaxies in extremely different environments.

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arXiv2023

Evolution of matter and galaxy clustering in cosmological hydrodynamical simulations

We quantify the evolution of matter and galaxy clustering in cosmological hydrodynamical simulations via correlation and bias functions of matter and galaxies. We use simulations TNG100 and TNG300 with epochs from $z=5$ to $z=0$. We calculate spatial correlation functions of galaxies, $ξ(r)$, for simulated galaxies and dark matter (DM) particles to characterise the evolving cosmic web. We find that bias parameters decrease during the evolution, confirming earlier results. At low and medium luminosities, bias parameters of galaxies, $b_0$, are equal, suggesting that dwarf galaxies reside in the same filamentary web as brighter galaxies. Bias parameters of the lowest luminosity galaxies estimated from CFs are lower relative to CFs of particle density-limited clustered samples of DM. We find that bias parameters $b_0$, estimated from CFs of clustered DM, agree with the expected values from the fraction of particles in the clustered population, $b=1/F_c$. The cosmic web contains filamentary structures of various densities, and fractions of matter in the clustered and the unclustered populations are both less than unity. Thus the CF amplitude of the clustered matter is always higher than for all matter, i.e. bias parameter must be $b>1$. Differences between CFs of galaxies and clustered DM suggest that these functions describe different properties of the cosmic web.

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arXiv2022

The evolution of high-density cores of the BOSS Great Wall superclusters

High-density cores (HDCs) of galaxy superclusters that embed rich clusters and groups of galaxies are the earliest large objects to form in the cosmic web, and the largest objects that may collapse in the present or future. We study the dynamical state and possible evolution of the HDCs in the BOSS Great Wall (BGW) superclusters at redshift $z \approx 0.5$ in order to understand the growth and evolution of structures in the Universe. We derived the density contrast values for the spherical collapse model in a wide range of redshifts and used these values to study the dynamical state and possible evolution of the HDCs of the BGW superclusters. The masses of the HDCs were calculated using stellar masses of galaxies in them. We found the masses and radii of the turnaround and future collapse regions in the HDCs and compared them with those of local superclusters. We determined eight HDCs in the BGW superclusters. The masses of their turnaround regions are in the range of $M_{\mathrm{T}} \approx 0.4 - 3.3\times~10^{15}h^{-1}M_\odot,$ and radii are in the range of $R_{\mathrm{T}} \approx 3.5 - 7 h^{-1}$Mpc. The radii of their future collapse regions are in the range of $R_{\mathrm{FC}} \approx 4 - 8h^{-1}$Mpc. Distances between individual cores in superclusters are much larger: of the order of $25 - 35h^{-1}$Mpc. The richness and sizes of the HDCs are comparable with those of the HDCs of the richest superclusters in the local Universe. The BGW superclusters will probably evolve to several poorer superclusters with masses similar to those of the local superclusters. This may weaken the tension with the $Λ$CDM model, which does not predict a large number of very rich and large superclusters in our local cosmic neighbourhood, and explains why there are no superclusters as elongated as those in the BGW in the local Universe.

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arXiv2022

Structure and Evolution of Regular Galaxies

The Thesis is an attempt to combine data from three previously independent areas - the structure and kinematics of stellar populations of the Galaxy, photometric and dynamical models of galaxies, and models of the dynamical and physical evolution of galaxies. This synthesis was made with the goal to understand better the vast topic of the structure and evolution of galaxies. The main results of the study can be divided into methodical and astronomical. The methodical results are 1) extrapolation of the mass distribution function beyond the Sun distance, and the determination of the circular velocity at the Sun distance from the Galactic centre; 2) conditions of physical correctness of models are developed, and the generalised exponential model is suggested; 3) a method has been developed to construct spatial and hydrodynamical models of stellar systems, using a combination of observational data on populations, and data on physical evolution of populations. The main astronomical results are - 1) spatial and hydrodynamical models of the Galaxy and the Andromeda galaxy M31 are elaborated in several approximations; 2) the dynamical evolution of the Galaxy is reconstructed using kinematical characteristics of stellar populations of different ages; 3) on the basis of stellar evolutionary tracks and star formation function, a theory of the evolution of galaxies is elaborated. The basic conclusion of the study is: it is impossible to reproduce the observed rotation curves of galaxies with known stellar populations.

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arXiv2021

Evolution of skewness and kurtosis of cosmic density fields

Methods. We perform numerical simulations of the evolution of the cosmic web for the conventional LCDM model. The simulations cover a wide range of box sizes L = 256 - 4000 Mpc/h, mass and force resolutions and epochs from very early moments z = 30 to the present moment z = 0. We calculate density fields with various smoothing lengths to find the dependence of the density field on smoothing scale. We calculate PDF and its moments - variance, skewness and kurtosis. Results. We focus on the third (skewness S) and fourth (kurtosis K) moments of the distribution functions: their dependence on the smoothing scale, the amplitude of fluctuations and the redshift. During the evolution the reduced skewness $S_3= S/σ$ and reduced kurtosis $S_4=K/σ^2$ present a complex behaviour: at a fixed redshift curves of $S_3(σ)$ and $S_4(σ)$ steeply increase with $σ$ at $σ\le 1$ and then flatten out and become constant at $σ\ge2$. If we fix the smoothing scale $R_t$, then after reaching the maximum at $σ\approx 2$, the curves at large $σ$ start to gradually decline. We provide accurate fits for the evolution of $S_{3,4}(σ,z)$. Skewness and kurtosis approach at early epochs constant levels, depending on smoothing length: $S_3(σ) \approx 3$ and $S_4(σ) \approx 15$. Conclusions. Most of statistics of dark matter clustering (e.g., halo mass function or concentration-mass relation) are nearly universal: they mostly depend on the $σ$ with the relatively modest correction to explicit dependence on the redshift. We find just the opposite for skewness and kurtosis: the dependence of moments on evolutionary epoch $z$ and smoothing length $R_t$ is very different, together they determine the evolution of $S_{3,4}(σ)$ uniquely. The evolution of $S_3$ and $S_4$ cannot be described by current theoretical approximations.

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arXiv2021

The Corona Borealis supercluster: connectivity, collapse, and evolution

We present a study of the Corona Borealis (CB) supercluster. We determined the high-density cores of the CB and the richest galaxy clusters in them, and studied their dynamical state and galaxy content. We determined filaments in the supercluster to analyse the connectivity of clusters. We compared the mass distribution in the CB with predictions from the spherical collapse model and analysed the acceleration field in the CB. We found that at a radius $R_{\mathrm{30}}$ around clusters in the CB (A2065, A2061, A2089, and Gr2064) (corresponding to the density contrast $Δρ\approx 30$), the galaxy distribution shows a minimum. The $R_{30}$ values for individual clusters lie in the range of $3 - 6$ $h^{-1}$ Mpc. The radii of the clusters (splashback radii) lie in the range of $R_{\mathrm{cl}} \approx 2 - 3$ $R_{\mathrm{vir}}$. The projected phase space diagrams and the comparison with the spherical collapse model suggest that $R_{\mathrm{30}}$ regions have passed turnaround and are collapsing. Galaxy content in clusters varies strongly. The cluster A2061 has the highest fraction of galaxies with old stellar populations, and A2065 has the highest fraction of galaxies with young stellar populations. The number of long filaments near clusters vary from one at A2089 to five at A2061. During the future evolution, the clusters in the main part of the CB may merge and form one of the largest bound systems in the nearby Universe. Another part of the CB, with the cluster Gr2064, will form a separate system. The structures with a current density contrast $Δρ\approx 30$ have passed turnaround and started to collapse at redshifts $z \approx 0.3 - 0.4$. The comparison of the number and properties of the most massive collapsing supercluster cores from observations and simulations may serve as a test for cosmological models.

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arXiv2020

Biasing phenomenon

We study biasing as a physical phenomenon by analysing power spectra (PS) and correlation functions (CF) of simulated galaxy samples and dark matter (DM) samples. We apply an algorithm based on the local densities of particles, $ρ$, to form populations of simulated galaxies, using particles with $ρ\ge ρ_0$. We calculate two-point CF of projected (2D) and spatial (3D) density fields of simulated galaxies for various particle-density limits $ρ_0$. We compare 3D and 2D CFs; in 2D case we use samples of various thickness to find the dependence of 2D CFs on thickness of samples. Dominant elements of the cosmic web are clusters and filaments, separated by voids filling most of the volume. In individual 2D sheets positions of clusters and filaments do not coincide. As a result, in projection clusters and filaments fill in 2D voids. This leads to the decrease of amplitudes of CFs in projection. For this reason amplitudes of 2D CFs are lower than amplitudes of 3D CFs, the difference is the larger, the thicker are 2D samples. Using PS and CFs of simulated galaxies and DM we estimate the bias factor for $L^\ast$ galaxies, $b^\ast =1.85 \pm 0.15$.

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arXiv2020

Multiscale cosmic web detachments, connectivity, and preprocessing in the supercluster SClA2142 cocoon

We study the properties, connectivity, and galaxy content of groups and filaments in the low-density region (cocoon) around A2142 supercluster (SClA2142). We traced the SClA2142 cocoon boundaries by the lowest luminosity-density regions that separate SClA2142 from other superclusters. We determined galaxy filaments and groups in the cocoon and analysed the connectivity of groups, the high density core (HDC) of the supercluster, and the whole of the supercluster. We compared the distribution and properties of galaxies with different star-formation properties in the supercluster and in the cocoon. SClA2142 and the long filament that is connected to it forms the longest straight structure in the Universe detected so far, with a length of $75$ $h^{-1}$ Mpc. The connectivity of the supercluster is C = 6 - 7; poor groups have C = 1 - 2. Long filaments around the supercluster's main body are detached from it at the turnaround region. Galaxies with very old stellar populations lie in systems across a wide range of richness from the richest cluster to poorest groups and single galaxies. They lie even at local densities as low as $D1 < 1$ in the cocoon and up to $D1 > 800$ in the supercluster. Recently quenched galaxies lie in the cocoon mainly in one region and their properties are different in the cocoon and in the supercluster. The star-formation properties of single galaxies are similar across all environments. The collapsing main body of SClA2142 with the detached long filaments near it are evidence of an important epoch in the supercluster evolution. Further studies are needed to understand the reasons of similarity of galaxies with very old stellar populations in extremely different environments. The presence of long, straight structures in the cosmic web may serve as a test for cosmological models.

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arXiv2018

Supercluster A2142 and collapse in action - infalling and merging groups and galaxy transformations

We study the dynamical state and properties of galaxies and groups in the supercluster SClA2142 that has a collapsing core, to understand its possible formation and evolution. We find the substructure of galaxy groups using normal mixture modelling. We have used the projected phase space (PPS) diagram, spherical collapse model, clustercentric distances, and magnitude gap between the brightest galaxies in groups to study the dynamical state of groups and to analyse group and galaxy properties. We compared the alignments of groups and their brightest galaxies with the supercluster axis. The supercluster core has a radius of about $8 h^{-1}$Mpc and total mass $M_{\mathrm{tot}} \approx 2.3\times~10^{15}h^{-1}M_\odot$ and is collapsing. Galaxies in groups on the supercluster axis have older stellar populations than off-axis groups, with median stellar ages $4 - 6$ and $< 4$Gyr, correspondingly. The cluster A2142 and the group Gr8 both host galaxies with the oldest stellar populations among groups in SClA2142 having the median stellar age $t > 8$Gyr. Recently quenched galaxies and active galactic nuclei (AGNs) are mostly located at virial radii or in merging regions of groups, and at clustercentric distances $D_c \approx 6 h^{-1}$ Mpc. The most elongated groups lie along the supercluster axis and are aligned with it. Magnitude gaps between the brightest galaxies of groups are less than one magnitude, suggesting that groups in SClA2142 are dynamically young. The collapsing core of the supercluster, infall of galaxies and groups, and possible merging groups, which affect galaxy properties and may trigger the activity of AGNs, show how the whole supercluster is evolving.

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arXiv2017

Infalling groups and galaxy transformations in the cluster A2142

We study galaxy populations and search for possible merging substructures in the rich galaxy cluster A2142. Normal mixture modelling revealed in A2142 several infalling galaxy groups and subclusters. The projected phase space diagram was used to analyse the dynamics of the cluster and study the distribution of various galaxy populations in the cluster and subclusters. The cluster, supercluster, BCGs, and one infalling subcluster are aligned. Their orientation is correlated with the alignment of the radio and X-ray haloes of the cluster. Galaxies in the centre of the main cluster at the clustercentric distances $0.5~h^{-1}Mpc$ have older stellar populations (with the median age of $10 - 11$~Gyrs) than galaxies at larger clustercentric distances. Star-forming and recently quenched galaxies are located mostly in the infall region at the clustercentric distances $D_{\mathrm{c}} \approx 1.8~h^{-1}Mpc$, where the median age of stellar populations of galaxies is about $2$~Gyrs. Galaxies in A2142 have higher stellar masses, lower star formation rates, and redder colours than galaxies in other rich groups. The total mass in infalling groups and subclusters is $M \approx 6\times10^{14}h^{-1}M_\odot$, approximately half of the mass of the cluster, sufficient for the mass growth of the cluster from redshift $z = 0.5$ (half-mass epoch) to the present. The cluster A2142 may have formed as a result of past and present mergers and infallen groups, predominantly along the supercluster axis. Mergers cause complex radio and X-ray structure of the cluster and affect the properties of galaxies in the cluster, especially in the infall region. Explaining the differences between galaxy populations, mass, and richness of A2142, and other groups and clusters may lead to better insight about the formation and evolution of rich galaxy clusters.

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arXiv2016

Sloan Great Wall as a complex of superclusters with collapsing cores

In the cosmic web, galaxy superclusters or their high-density cores are the largest objects that may collapse at present or during the future evolution. We study the dynamical state and possible future evolution of galaxy superclusters from the Sloan Great Wall (SGW), the richest galaxy system in the nearby Universe. We calculated supercluster masses using dynamical masses of galaxy groups and stellar masses of galaxies. We employed normal mixture modelling to study the structure of rich SGW superclusters and search for components (cores) in superclusters. We analysed the radial mass distribution in the high-density cores of superclusters centred approximately at rich clusters and used the spherical collapse model to study their dynamical state. We found that the lower limit of the total mass of the SGW is approximately $M = 2.5\times~10^{16}h^{-1}M_\odot$. Different mass estimators of superclusters agree well, the main uncertainties in masses of superclusters come from missing groups and clusters. We detected three high-density cores in the richest SGW supercluster (SCl~027) and two in the second richest supercluster (SCl~019). They have masses of $1.2 - 5.9 \times~10^{15}h^{-1}M_\odot$ and sizes of up to $\approx 60 h^{-1}$ Mpc. The high-density cores of superclusters are very elongated, flattened perpendicularly to the line of sight. The comparison of the radial mass distribution in the high-density cores with the predictions of spherical collapse model suggests that their central regions with radii smaller than $8 h^{-1}$Mpc and masses of up to $M = 2\times~10^{15}h^{-1}M_\odot$ may be collapsing. The rich SGW superclusters with their high-density cores represent dynamically evolving environments for studies of the properties of galaxies and galaxy systems.

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arXiv2015

Characteristic density contrasts in the evolution of superclusters. The case of A2142 supercluster

The formation and evolution of the cosmic web in which galaxy superclusters are the largest relatively isolated objects is governed by a gravitational attraction of dark matter and antigravity of dark energy (cosmological constant). We study the characteristic density contrasts in the spherical collapse model for several epochs in the supercluster evolution and their dynamical state. We analysed the density contrasts for the turnaround, future collapse and zero gravity in different LCDM models and applied them to study the dynamical state of the supercluster A2142 with an almost spherical main body. The analysis of the supercluster A2142 shows that its high-density core has already started to collapse. The zero-gravity line outlines the outer region of the main body of the supercluster. In the course of future evolution the supercluster may split into several collapsing systems. The various density contrasts presented in our study and applied to the supercluster A2142 offer a promising way to characterise the dynamical state and expected future evolution of galaxy superclusters.

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arXiv2015

Unusual A2142 supercluster with a collapsing core: distribution of light and mass

We study the distribution, masses, and dynamical properties of galaxy groups in the A2142 supercluster. We analyse the global luminosity density distribution in the supercluster and divide the supercluster into the high-density core and the low-density outskirts regions. We find galaxy groups and filaments in the regions of different global density, calculate their masses and mass-to-light ratios and analyse their dynamical state with several 1D and 3D statistics. We use the spherical collapse model to study the dynamical state of the supercluster. We show that in A2142 supercluster groups and clusters with at least ten member galaxies lie along an almost straight line forming a 50 Mpc/h long main body of the supercluster. The A2142 supercluster has a very high density core surrounded by lower-density outskirt regions. The total estimated mass of the supercluster is M_est = 6.2 10^{15}M_sun. More than a half of groups with at least ten member galaxies in the supercluster lie in the high-density core of the supercluster, centered at the rich X-ray cluster A2142. Most of the galaxy groups in the core region are multimodal. In the outskirts of the supercluster, the number of groups is larger than in the core, and groups are poorer. The orientation of the cluster A2142 axis follows the orientations of its X-ray substructures and radio halo, and is aligned along the supercluster axis. The high-density core of the supercluster with the global density D8 > 17 and perhaps with D8 > 13 may have reached the turnaround radius and started to collapse. A2142 supercluster with luminous, collapsing core and straight body is an unusual object among galaxy superclusters. In the course of the future evolution the supercluster may be split into several separate systems.

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arXiv2014

Yakov Zeldovich and the Cosmic Web Paradigm

I discuss the formation of the modern cosmological paradigm. In more detail I describe the early study of dark matter and cosmic web and the role of Yakov Zeldovich in the formation of the present concepts on these subjects.

astro-ph.CO↗