Topology and geometry of Gaussian random fields I: on Betti numbers, Euler characteristic, and Minkowski functionals-Reference-Cited by-同舟云学术

Topology and geometry of Gaussian random fields I: on Betti numbers, Euler characteristic, and Minkowski functionals

Published:2019-02-25 Issue:3 Volume:485 Page:4167-4208
ISSN:0035-8711
Container-title:Monthly Notices of the Royal Astronomical Society
language:en
Short-container-title:

Author:

Pranav Pratyush¹²³^ORCID,van de Weygaert Rien²,Vegter Gert⁴,Jones Bernard J T²,Adler Robert J³,Feldbrugge Job²⁵,Park Changbom⁶,Buchert Thomas¹,Kerber Michael⁷

Affiliation:

1. Univ Lyon, ENS de Lyon, Univ Lyon1, CNRS, Centre de Recherche Astrophysique de Lyon UMR5574, F-69007 Lyon, France

2. Kapteyn Astronomical Institute, Univ. of Groningen, PO Box 800, NL-9700 AV Groningen, the Netherlands

3. Technion – Israel Institute of Technology, Haifa 32000, Israel

4. Johann Bernoulli Inst. for Mathematics and Computer Science, Univ. of Groningen, P.O. Box 407, NL-9700 AK Groningen, the Netherlands

5. Perimeter Institute for Theoretical Physics, University of Waterloo, Waterloo ON N2L 2Y5, Canada

6. Korean Institute of Advanced Studies, Hoegiro 87, Dongdaemun-gu, Seoul 130-722, Korea

7. Institut für Geometrie, TU Graz, Kopernikusgasse 24A 8010 Graz

Funder

7th Framework Programme for Research of the European Commission

European Research Council

Publisher

Oxford University Press (OUP)

Subject

Space and Planetary Science,Astronomy and Astrophysics

Link

http://academic.oup.com/mnras/article-pdf/485/3/4167/28250852/stz541.pdf

Reference121 articles.

1. Modeling and replicating statistical topology and evidence for CMB nonhomogeneity

2. Persistent homology for random fields and complexes

3. Rotation and scale space random fields and the Gaussian kinematic formula

Cited by 46 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Enhancing Morphological Measurements of the Cosmic Web with Delaunay Tessellation Field Estimation;The Astrophysical Journal Supplement Series;2024-08-01

2. Improving SDSS cosmological constraints through β -skeleton weighted correlation functions;Physical Review D;2024-06-24

3. Minkowski functionals of large-scale structure as a probe of modified gravity;Physical Review D;2024-04-29

4. Topological bias: how haloes trace structural patterns in the cosmic web;Monthly Notices of the Royal Astronomical Society;2024-02-22

5. Probing cosmology via the clustering of critical points;Monthly Notices of the Royal Astronomical Society;2024-01-15