On the Fractal Dimension of the Visible Universe

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dc.creatorEckmann, Jean-Pierre
dc.creatorJärvenpää, Esa
dc.creatorJärvenpää, Maarit
dc.creatorProcaccia, Itamar
dc.date2003-01-03
dc.date.accessioned2026-07-07T02:07:03Z
dc.date.available2026-07-07T02:07:03Z
dc.descriptionEstimates of the fractal dimension $D$ of the set of galaxies in the universe, based on ever improving data sets, tend to settle on $D\approx 2$. This result raised a raging debate due to its glaring contradiction with astrophysical models that expect a homogeneous universe. A recent mathematical result indicates that there is no contradiction, since measurements of the dimension of the {\em visible} subset of galaxies is bounded from above by D=2 even if the true dimension is anything between D=2 and D=3. We demonstrate this result in the context of a simple fractal model, and explain how to proceed in order to find a better estimate of the true dimension of the set of galaxies.
dc.identifierhttps://arxiv.org/abs/astro-ph/0301034
dc.identifierhttp://arxiv.org/abs/astro-ph/0301034
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/5572
dc.subjectAstrophysics
dc.titleOn the Fractal Dimension of the Visible Universe
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