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Geometry and Morphology of the Cosmic Web: Analyzing Spatial Patterns in the Universe [article]

Rien van de Weygaert, Bernard J.T. Jones Kapteyn Astronomical Institute, University of Groningen, the Netherlands, Dept. Physics & Astronomy, the Johns Hopkins University, Baltimore, USA)
2009 arXiv   pre-print
The Cosmic Web is the salient and pervasive foamlike pattern in which matter has organized itself on scales of a few up to more than a hundred Megaparsec.  ...  We review the analysis of the Cosmic Web by means of an extensive toolset based on the use of Delaunay and Voronoi tessellations.  ...  ACKNOWLEDGEMENT We are very grateful to Willem Schaap for his contributions to substantial parts of the work presented in this review.  ... 
arXiv:0912.3448v1 fatcat:apurkdf5i5ee5kq27vegyhcjne

The Cosmic Web: Geometric Analysis [chapter]

R. van de Weygaert, W. Schaap
2008 Lecture Notes in Physics  
The reconstruction of the spatial weblike patterns in N-body simulations and in the 2dFGRS provide a visual impression of DTFE's performance.  ...  The analysis of the velocity divergence pdf and maps obtained of the velocity flow in the Local Universe (implied by PSCz) illustrate its promise for probing the dynamics of cosmic structure.  ...  Outline: Patterns in the Cosmic Web The spatial cosmic matter distribution on scales of a few up to more than a hundred Megaparsec displays a salient and pervasive foamlike pattern.  ... 
doi:10.1007/978-3-540-44767-2_11 fatcat:66wlzwq3pjevxb6ckfgl4gik2q

Alpha Shape Topology of the Cosmic Web [article]

Rien van de Weygaert, Bob Eldering Kapteyn Astronomical Institute, University of Groningen, the Netherlands, Johann Bernoulli Institute for Mathematics and Computer Science, University of Groningen, the Netherlands)
2010 arXiv   pre-print
These may be tuned to consist of a few or even only one specific morphological element of the Cosmic Web, ie. clusters, filaments or sheets.  ...  We study the topology of the Megaparsec Cosmic Web on the basis of the Alpha Shapes of the galaxy distribution.  ...  We particularly wish to acknowledge Monique and Manuel for developing the elegant and efficient periodic boundary condition alpha shape CGAL software.  ... 
arXiv:1006.2765v1 fatcat:pzybidahuzgmniw4oq7audpiz4

THE SPINE OF THE COSMIC WEB

Miguel A. Aragón-Calvo, Erwin Platen, Rien van de Weygaert, Alexander S. Szalay
2010 Astrophysical Journal  
We present the SpineWeb framework for the topological analysis of the Cosmic Web and the identification of its walls, filaments and cluster nodes.  ...  The latter illustrates the potential for studying the structure and dynamics of the Cosmic Web.  ...  developing complete descriptors of the intricate spatial patterns that define the Cosmic Web.  ... 
doi:10.1088/0004-637x/723/1/364 fatcat:k64h4xakzbcvtc6sfz5z56364q

Alpha Shape Topology of the Cosmic Web

Rien van de Weygaert, Erwin Platen, Gert Vegter, Bob Eldering, Nico Kruithof
2010 2010 International Symposium on Voronoi Diagrams in Science and Engineering  
These may be tuned to consist of a few or even only one specific morphological element of the Cosmic Web, ie. clusters, filaments or sheets.  ...  We study the topology of the Megaparsec Cosmic Web on the basis of the Alpha Shapes of the galaxy distribution.  ...  We particularly wish to acknowledge Monique and Manuel for developing the elegant and efficient periodic boundary condition alpha shape CGAL software.  ... 
doi:10.1109/isvd.2010.24 dblp:conf/isvd/WeygaertPVEK10 fatcat:ympjfwjq5ngorkoyznsbcc76v4

Observations and Morphology of the Cosmic Web [chapter]

Rien van de Weygaert, J. R. Bond
2008 Lecture Notes in Physics  
morphology of the spatial patterns.  ...  In these notes we will delve into the observational and morphological aspects of the Cosmic Web.  ... 
doi:10.1007/978-1-4020-6941-3_11 fatcat:biqtnekowvdspokx5fm374q5yu

Voronoi Tessellations and the Cosmic Web: Spatial Patterns and Clustering across the Universe [article]

Rien van de Weygaert (Kapteyn Institute, University of Groningen, the Netherlands)
2007 arXiv   pre-print
The spatial cosmic matter distribution on scales of a few up to more than a hundred Megaparsec displays a salient and pervasive foamlike pattern.  ...  They would be the natural asymptotic result of an evolution in which low-density expanding void regions dictate the spatial organization of the Megaparsec Universe, while matter assembles in high-density  ...  It may hint at an intriguing and intimate relationship between the cosmic foamlike geometry and various measures of clustering in the Universe.  ... 
arXiv:0707.2877v1 fatcat:xzrpjmfnbrgzfhsmm76kq64wle

Caustic Skeleton & Cosmic Web

Job Feldbrugge, Rien van de Weygaert, Johan Hidding, Joost Feldbrugge
2018 Journal of Cosmology and Astroparticle Physics  
We consider the caustic conditions for the 3-dimensional Zel'dovich approximation, extending earlier work on those for 1- and 2-dimensional fluids towards the full spatial richness of the cosmic web.  ...  His seminal work established the role of emerging singularities in the formation of nonlinear structures in the universe.  ...  Acknowledgements We thank Sergei Shandarin for having raised our interest in caustics as a key towards the dynamical understanding of the cosmic web.  ... 
doi:10.1088/1475-7516/2018/05/027 fatcat:rir6iy3wy5hw3hrypqfnl5wrhy

Voronoi Tessellations and the Cosmic Web: Spatial Patterns and Clustering across the Universe

Rien van de Weygaert
2007 4th International Symposium on Voronoi Diagrams in Science and Engineering (ISVD 2007)  
The spatial cosmic matter distribution on scales of a few up to more than a hundred Megaparsec 1 displays a salient and pervasive foamlike pattern.  ...  They would be the natural asymptotic result of an evolution in which low-density expanding void regions dictate the spatial organization of the Megaparsec Universe, while matter assembles in high-density  ...  It may hint at an intriguing and intimate relationship between the cosmic foamlike geometry and various measures of clustering in the Universe.  ... 
doi:10.1109/isvd.2007.48 dblp:conf/isvd/Weygaert07 fatcat:2fmel3o24fg7hnssvapipdyjnq

Multiscale phenomenology of the cosmic web

Miguel A. Aragón-Calvo, Rien Van De Weygaert, Bernard J. T. Jones
2010 Monthly notices of the Royal Astronomical Society  
We analyze the structure and connectivity of the distinct morphologies that define the Cosmic Web.  ...  This plays an important role in both linear and non linear interactions between haloes. ii).- Most of the mass in the Universe is concentrated in filaments, narrowly followed by clusters.  ...  ACKNOWLEDGEMENTS The authors are grateful to the (anonymous) referee for the careful and constructive appraisal of our manuscript, leading to substantial improvements.  ... 
doi:10.1111/j.1365-2966.2010.17263.x fatcat:eg4i6xq655bcdpgs7ig6urdhdq

The Fractal Geometry of the Cosmic Web and Its Formation

Jose Gaite
2019 Advances in Astronomy  
The cosmic web structure is studied with the concepts and methods of fractal geometry, employing the adhesion model of cosmological dynamics as a basic reference.  ...  The structures of matter clusters and cosmic voids in cosmological N-body simulations or the Sloan Digital Sky Survey are elucidated by means of multifractal geometry.  ...  The Cosmic Web Geometry In this section, we study the geometry of the universe on middle to large scales, in the present epoch, and from a descriptive point of view.  ... 
doi:10.1155/2019/6587138 fatcat:ago3w25wqzdwbihnlt2qwwyf5e

Alpha, Betti and the Megaparsec Universe: On the Topology of the Cosmic Web [chapter]

Rien van de Weygaert, Gert Vegter, Herbert Edelsbrunner, Bernard J. T. Jones, Pratyush Pranav, Changbom Park, Wojciech A. Hellwing, Bob Eldering, Nico Kruithof, E. G. P. Bos, Johan Hidding, Job Feldbrugge (+4 others)
2011 Lecture Notes in Computer Science  
The sensitivity to the structure and topology of the matter distribution in the Cosmic Web is clearly visible when comparing the lower value of α in the top panel with the higher value of α in the bottom  ...  Examples of alpha shapes of the LCDM GIF simulation. Shown are central slices through the complete alpha shape for two different values of α, viewed from different angles.  ...  In particular, we wish to express our gratitude to the editor, Mir Abolfazl Mostafevi, for his help and patience at the finishing stage of this project.  ... 
doi:10.1007/978-3-642-25249-5_3 fatcat:ucypjl3dgjbwbnmbzpza6vpqyy

Alpha, Betti and the Megaparsec Universe: on the Topology of the Cosmic Web [article]

Rien van de Weygaert, Gert Vegter, Herbert Edelsbrunner, Bernard J.T. Jones, Pratyush Pranav, Changbom Park, Wojciech A. Hellwing, Bob Eldering, Nico Kruithof, E. G. Patrick Bos, Johan Hidding, Job Feldbrugge, Eline ten Have (+3 others)
2013 arXiv   pre-print
In order to develop an intuitive understanding for the behavior of Betti numbers as a function of α, and their relation to the morphological patterns in the Cosmic Web, we first study them within the context  ...  We study the topology of the Megaparsec Cosmic Web in terms of the scale-dependent Betti numbers, which formalize the topological information content of the cosmic mass distribution.  ...  In particular, we wish to express our gratitude to the editor, Mir Abolfazl Mostafevi, for his help and patience at the finishing stage of this project. Part  ... 
arXiv:1306.3640v1 fatcat:bts26lwmzzc2jdkjmrjagzux2i

The Zel'dovich approximation: key to understanding cosmic web complexity

Johan Hidding, Sergei F. Shandarin, Rien van de Weygaert
2013 Monthly notices of the Royal Astronomical Society  
In particular, as it is instrumental in outlining the spatial network of the cosmic web, we investigate the nature of spatial connections between these singularities.  ...  The Zeldovich approximation is used to model the backbone of the cosmic web in terms of its singularity structure.  ...  Shandarin and R. van de Weygaert also acknowledge the support by the NWO visitor program (grant #040.11.344). In addition, S.  ... 
doi:10.1093/mnras/stt2142 fatcat:jxvttpj6zngofdnigwnr3mcdxa

Bayesian analysis of the dynamic cosmic web in the SDSS galaxy survey

Florent Leclercq, Jens Jasche, Benjamin Wandelt
2015 Journal of Cosmology and Astroparticle Physics  
By also providing the history of these structure maps, the approach allows an analysis of the origin and growth of the early traces of the cosmic web present in the initial density field and of the evolution  ...  We then perform a dynamic classification of the cosmic web into four distinct components (voids, sheets, filaments, and clusters) on the basis of the tidal field.  ...  of the late-time morphological features of the cosmic web.  ... 
doi:10.1088/1475-7516/2015/06/015 fatcat:hbkiynhz2rdyzncmrqorb2bj4y
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