---
res:
  bibo_abstract:
  - Mapping every simplex in the Delaunay mosaic of a discrete point set to the radius
    of the smallest empty circumsphere gives a generalized discrete Morse function.
    Choosing the points from a Poisson point process in ℝ n , we study the expected
    number of simplices in the Delaunay mosaic as well as the expected number of critical
    simplices and nonsingular intervals in the corresponding generalized discrete
    gradient. Observing connections with other probabilistic models, we obtain precise
    expressions for the expected numbers in low dimensions. In particular, we obtain
    the expected numbers of simplices in the Poisson–Delaunay mosaic in dimensions
    n ≤ 4.@eng
  bibo_authorlist:
  - 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: Anton
      foaf_name: Nikitenko, Anton
      foaf_surname: Nikitenko
      foaf_workInfoHomepage: http://www.librecat.org/personId=3E4FF1BA-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-0659-3201
  - foaf_Person:
      foaf_givenName: Matthias
      foaf_name: Reitzner, Matthias
      foaf_surname: Reitzner
  bibo_doi: 10.1017/apr.2017.20
  bibo_issue: '3'
  bibo_volume: 49
  dct_date: 2017^xs_gYear
  dct_identifier:
  - UT:000416417500004
  dct_isPartOf:
  - http://id.crossref.org/issn/0001-8678
  dct_language: eng
  dct_publisher: Cambridge University Press@
  dct_title: Expected sizes of poisson Delaunay mosaics and their discrete Morse functions@
...