On the Abundance of Extreme Voids

Abstract

Cosmic voids have been shown to be an effective probe of cosmology, complementary to galaxy clusters. In this work, we present a simple theoretical framework for predicting of the size of the largest voids expected within a given redshift and volume. Our model is based on the exact extreme-value statistics which has previously been successfully applied to massive galaxy clusters. We implement our formalism using the void-abundance models and compare the extreme-void predictions to simulations and observations. We find that the simplest void models can only explain the extreme-void abundance with ad hoc parameter adjustments. We argue that extreme-void distributions should be used as an additional test on theories of void abundance.

13 pages, 7 figures. Comparison with data much improved

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Cited by in corpus (3)

• Extreme Value Statistics of the Halo and Stellar Mass Distributions at High Redshift: are JWST Results in Tension with ΛCDM?
• Extreme-Value Statistics of the Spin of Primordial Black Holes
• On the Significance of Rare Objects at High Redshift: The Impact of Cosmic Variance