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Cited by 503

The DOI matches its Crossref record; 43 of the 43 references it cites were found in a registry or an index.

A hierarchy of voids: much ado about nothing

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Sheth, Ravi K., van de Weygaert, Rien·2004·Monthly Notices of the Royal Astronomical Society

Abstract

We present a model for the distribution of void sizes and its evolution in the context of hierarchical scenarios of gravitational structure formation. We find that at any cosmic epoch the voids have a size distribution that is well-peaked about a characteristic void size that evolves self-similarly in time. This is in distinct contrast to the distribution of virialized halo masses, which does not have a small-scale cut-off. In our model, the fate of voids is ruled by two processes. The first process affects those voids which are embedded in larger underdense regions: the evolution is effectively one in which a larger void is made up by the mergers of smaller voids, and is analogous to how massive clusters form from the mergers of less massive progenitors. The second process is unique to voids, and occurs to voids that happen to be embedded within a larger-scale overdensity: these voids get squeezed out of existence as the overdensity collapses around them. It is this second process which produces the cut-off at small scales. In the excursion set formulation of cluster abundance and evolution, the solution of the cloud-in-cloud problem, i.e. counting as clusters only those objects which are not embedded in larger clusters, requires the study of random walks crossing one barrier. We show that a similar formulation of void evolution requires the study of a two-barrier problem: one barrier is required to account for voids-in-voids, and the other for voids-in-clouds. Thus, in our model, the void size distribution is a function of two parameters, one of which reflects the dynamics of void formation, and the other the formation of collapsed objects.

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Crossref · 10.1111/j.1365-2966.2004.07661.x

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Metadata

Authors
Sheth, R. K., & van de Weygaert, R.
Venue
Monthly Notices of the Royal Astronomical Society
Published
2004-05
Volume
350
Issue
2
Pages
517-538
ISSN
  • 0035-8711 (ISSN-L)
  • 1365-2966
OpenAlex
W2049654426
Cited by
503
References
43
FWCI
8.86
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: A hierarchy of voids: much ado about nothing. https://app.cochat.ai/papers/10.1111/j.1365-2966.2004.07661.x
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Sheth, R. K., & van de Weygaert, R. (2004). A hierarchy of voids: much ado about nothing. Monthly Notices of the Royal Astronomical Society. https://doi.org/10.1111/j.1365-2966.2004.07661.x

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