---
res:
  bibo_abstract:
  - We introduce a multiscale topological description of the Megaparsec web-like cosmic
    matter distribution. Betti numbers and topological persistence offer a powerful
    means of describing the rich connectivity structure of the cosmic web and of its
    multiscale arrangement of matter and galaxies. Emanating from algebraic topology
    and Morse theory, Betti numbers and persistence diagrams represent an extension
    and deepening of the cosmologically familiar topological genus measure and the
    related geometric Minkowski functionals. In addition to a description of the mathematical
    background, this study presents the computational procedure for computing Betti
    numbers and persistence diagrams for density field filtrations. The field may
    be computed starting from a discrete spatial distribution of galaxies or simulation
    particles. The main emphasis of this study concerns an extensive and systematic
    exploration of the imprint of different web-like morphologies and different levels
    of multiscale clustering in the corresponding computed Betti numbers and persistence
    diagrams. To this end, we use Voronoi clustering models as templates for a rich
    variety of web-like configurations and the fractal-like Soneira-Peebles models
    exemplify a range of multiscale configurations. We have identified the clear imprint
    of cluster nodes, filaments, walls, and voids in persistence diagrams, along with
    that of the nested hierarchy of structures in multiscale point distributions.
    We conclude by outlining the potential of persistent topology for understanding
    the connectivity structure of the cosmic web, in large simulations of cosmic structure
    formation and in the challenging context of the observed galaxy distribution in
    large galaxy surveys.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: Pratyush
      foaf_name: Pranav, Pratyush
      foaf_surname: Pranav
  - foaf_Person:
      foaf_givenName: Herbert
      foaf_name: Edelsbrunner, Herbert
      foaf_surname: Edelsbrunner
      foaf_workInfoHomepage: http://www.librecat.org/personId=3FB178DA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-9823-6833
  - foaf_Person:
      foaf_givenName: Rien
      foaf_name: Van De Weygaert, Rien
      foaf_surname: Van De Weygaert
  - foaf_Person:
      foaf_givenName: Gert
      foaf_name: Vegter, Gert
      foaf_surname: Vegter
  - foaf_Person:
      foaf_givenName: Michael
      foaf_name: Kerber, Michael
      foaf_surname: Kerber
  - foaf_Person:
      foaf_givenName: Bernard
      foaf_name: Jones, Bernard
      foaf_surname: Jones
  - foaf_Person:
      foaf_givenName: Mathijs
      foaf_name: Wintraecken, Mathijs
      foaf_surname: Wintraecken
      foaf_workInfoHomepage: http://www.librecat.org/personId=307CFBC8-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-7472-2220
  bibo_doi: 10.1093/mnras/stw2862
  bibo_issue: '4'
  bibo_volume: 465
  dct_date: 2017^xs_gYear
  dct_identifier:
  - UT:000395170200039
  dct_isPartOf:
  - http://id.crossref.org/issn/0035-8711
  dct_language: eng
  dct_publisher: Oxford University Press@
  dct_title: The topology of the cosmic web in terms of persistent Betti numbers@
...