A new geometrical approach to void statistics

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.

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