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A new geometrical approach to void statistics

2013/11/28 by M. C. Werner, Marcus C. Werner, Werner, M. C.
Engineering · Physics and Astronomy · #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Manufacturing Process and Optimization #astro-ph.CO #gr-qc

paper · pdf · doi:10.48550/arxiv.1311.7209

6 pages, 2 figures. To be published in the Proceedings of the Enrico Fermi School "New Horizons for Observational Cosmology", Varenna, July 2013

arxiv created 2013/11/28 · openalex publication_date 2013/11/28 · arxiv updated 2013/12/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Modelling cosmic voids as spheres in Euclidean space, the notion of a de-Sitter configuration space is introduced. It is shown that a uniform distribution over this configuration space yields a power-law approximating the void size distribution in an intermediate range of volumes, as well as an estimate for the fractal dimension of the large scale structure.

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