Persistent homology of the cosmic web – I. Hierarchical topology in ΛCDM cosmologies

Autor: Rien van de Weygaert, Gert Vegter, Georg Wilding, Keimpe Nevenzeel, Konstantinos Efstathiou, Bernard J. T. Jones, Pratyush Pranav, Job Feldbrugge

Publikováno v: Mon.Not.Roy.Astron.Soc.
Mon.Not.Roy.Astron.Soc., 2021, 507 (2), pp.2968-2990. ⟨10.1093/mnras/stab2326⟩
Monthly Notices of the Royal Astronomical Society
Monthly Notices of the Royal Astronomical Society, 507(2), 2968-2990. Oxford University Press
Monthly Notices of the Royal Astronomical Society, 2021, 507 (2), pp.2968-2990. ⟨10.1093/mnras/stab2326⟩

Using a set of $\Lambda$CDM simulations of cosmic structure formation, we study the evolving connectivity and changing topological structure of the cosmic web using state-of-the-art tools of multiscale topological data analysis (TDA). We follow the d

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::222fb98c16967e82b4aaf8446590d0c9
https://research.rug.nl/en/publications/1cd3423b-4c07-4d62-98e1-3de08598dfaf

Reinvention Of Science, The: Slaying The Dragons Of Dogma And Ignorance

Autor: Bernard J T Jones, Vicent J Martinez, Virginia Trimble

Throughout the history of science, different thinkers, philosophers and scientists postulated the existence of entities that, in spite of their not being visible or detectable in their time, or perhaps ever, were nevertheless useful to explain the re

Unexpected topology of the temperature fluctuations in the cosmic microwave background

Autor: Pratyush Pranav, Herbert Edelsbrunner, Hubert Wagner, Armin Schwartzman, Thomas Buchert, Bernard J. T. Jones, Rien van de Weygaert, Robert J. Adler

Publikováno v: Astronomy and astrophysics, 627(July 2019):A163. EDP Sciences
Astronomy and Astrophysics-A&A
Astronomy and Astrophysics-A&A, EDP Sciences, 2019, 627, pp.A163. ⟨10.1051/0004-6361/201834916⟩
Astron.Astrophys.
Astron.Astrophys., 2019, 627, pp.A163. ⟨10.1051/0004-6361/201834916⟩
Astronomy and Astrophysics-A&A, 2019, 627, pp.A163. ⟨10.1051/0004-6361/201834916⟩
Astronomy & Astrophysics

We study the topology generated by the temperature fluctuations of the Cosmic Microwave Background (CMB) radiation, as quantified by the number of components and holes, formally given by the Betti numbers, in the growing excursion sets. We compare CM

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff313ed197f8ac2844623b7e4ea64f15
https://research.rug.nl/en/publications/2cc37dad-c516-4d11-82fb-8c84cb9cf3db

SI, CGS and Planck Units

Autor: Bernard J. T. Jones

Publikováno v: Precision Cosmology: The First Half Million Years

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ec7c6db06ff8edbf5bbaa96970a5f097
https://doi.org/10.1017/cbo9781139027809.032

Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals

Autor: Job Feldbrugge, Gert Vegter, Rien van de Weygaert, Pratyush Pranav, Changbom Park, Robert J. Adler, Thomas Buchert, Michael Kerber, Bernard J. T. Jones

Publikováno v: Monthly Notices of the Royal Astronomical Society
Monthly Notices of the Royal Astronomical Society, 2019, 485 (3), pp.4167-4208. ⟨10.1093/mnras/stz541⟩
Mon.Not.Roy.Astron.Soc.
Mon.Not.Roy.Astron.Soc., 2019, 485 (3), pp.4167-4208. ⟨10.1093/mnras/stz541⟩
Monthly Notices of the Royal Astronomical Society, Oxford University Press (OUP): Policy P-Oxford Open Option A, 2019, 485 (3), pp.4167-4208. ⟨10.1093/mnras/stz541⟩
Monthly Notices of the Royal Astronomical Society, 485(3), 4167-4208. Oxford University Press

This study presents a numerical analysis of the topology of a set of cosmologically interesting three-dimensional Gaussian random fields in terms of their Betti numbers $\beta_0$, $\beta_1$ and $\beta_2$. We show that Betti numbers entail a considera

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98f7799bd25cd204ed82fca594bcee02
https://hal.science/hal-01975050/document