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- W97379314 abstract "Voids are a prominent feature of the galaxy distribution but their quantitative study is hindered by the lack of a precise definition of what constitutes a void. Here we propose a definition of voids in point distributions that uses methods of discrete stochastic geometry, in particular, Delaunay and Voronoi tessellations, and we construct a new void-finder. We then apply the void-finder to scaling point distributions. First, we find the voids of pure fractals with a transition to homogeneity and show that the rank ordering of the voids also scales (Zipf's law) and, in addition, shows the transition to homogeneity. However, a pure fractal is arguably not a good model of the galaxy distribution, so we construct from a cosmological $N$-body simulation a bifractal mock galaxy sample representing two galaxy populations, which we identify as and field galaxies. The wall galaxy distribution fits a pure fractal with a transition to homogeneity and, furthermore, the rank ordering of its voids shows a scaling range with the right slope plus a transition to homogeneity." @default.
- W97379314 created "2016-06-24" @default.
- W97379314 creator A5075020633 @default.
- W97379314 date "2005-10-11" @default.
- W97379314 modified "2023-09-27" @default.
- W97379314 title "Scaling of voids in the large scale distribution of matter" @default.
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- W97379314 hasPublicationYear "2005" @default.
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