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Shapefinders: A new shape diagnostic for large scale structure

3 Pith papers cite this work. Polarity classification is still indexing.

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abstract

We construct a set of shape-finders which determine shapes of compact surfaces (iso-density surfaces in galaxy surveys or N-body simulations) without fitting them to ellipsoidal configurations as done earlier. The new indicators arise from simple, geometrical considerations and are derived from fundamental properties of a surface such as its volume, surface area, integrated mean curvature and connectivity characterized by the Genus. These `Shapefinders' could be used to diagnose the presence of filaments, pancakes and ribbons in large scale structure. Their lower-dimensional generalization may be useful for the study of two-dimensional distributions such as temperature maps of the Cosmic Microwave Background.

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astro-ph.CO 3

years

2026 3

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UNVERDICTED 3

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Overview of 21cm Experiments at high redshift with SKAO

astro-ph.CO · 2026-06-24 · unverdicted · novelty 0.0 · 2 refs

An overview summarizing SKA-Low 21cm experiments for power spectrum, tomography, 21-cm forest, and cross-correlations, plus critical telescope features, building on the 2015 SKA Science Book.

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