---
res:
  bibo_abstract:
  - We call a continuous self-map that reveals itself through a discrete set of point-value
    pairs a sampled dynamical system. Capturing the available information with chain
    maps on Delaunay complexes, we use persistent homology to quantify the evidence
    of recurrent behavior. We establish a sampling theorem to recover the eigenspaces
    of the endomorphism on homology induced by the self-map. Using a combinatorial
    gradient flow arising from the discrete Morse theory for Čech and Delaunay complexes,
    we construct a chain map to transform the problem from the natural but expensive
    Čech complexes to the computationally efficient Delaunay triangulations. The fast
    chain map algorithm has applications beyond dynamical systems.@eng
  bibo_authorlist:
  - foaf_Person:
      foaf_givenName: U.
      foaf_name: Bauer, U.
      foaf_surname: Bauer
  - 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: Grzegorz
      foaf_name: Jablonski, Grzegorz
      foaf_surname: Jablonski
      foaf_workInfoHomepage: http://www.librecat.org/personId=4483EF78-F248-11E8-B48F-1D18A9856A87
    orcid: 0000-0002-3536-9866
  - foaf_Person:
      foaf_givenName: M.
      foaf_name: Mrozek, M.
      foaf_surname: Mrozek
  bibo_doi: 10.1007/s41468-020-00058-8
  bibo_issue: '4'
  bibo_volume: 4
  dct_date: 2020^xs_gYear
  dct_isPartOf:
  - http://id.crossref.org/issn/2367-1726
  - http://id.crossref.org/issn/2367-1734
  dct_language: eng
  dct_publisher: Springer Nature@
  dct_title: Čech-Delaunay gradient flow and homology inference for self-maps@
...