Distances in plane membranes
arXiv:physics/0111108
Abstract
A flat membrane with given shape is displayed; two points in the membrane are randomly selected; the probability that the separation between the points have a specified value is sought. A simple method to evaluate the probability density is developed, and is easily extended to spaces with more dimensions.
8 pages, 6 figures, version 2 with corrected commands of figures
References in corpus (12)
- Topology of the Universe: Theory and Observations
- A Topological Signature in Cosmic Topology
- Spikes in Cosmic Crystallography II: Topological Signature of Compact Flat Universes
- On Closed Einstein-de Sitter Universes
- Limits of crystallographic methods for detecting space topology
- Topological lens effects in universes with non-Euclidean compact spatial sections
- A New Crystallographic Method for Detecting Space Topology
- Cosmic Crystallography in Compact Hyperbolic Universes
- Cosmic crystallography: three multi-purpose functions
- Cosmic crystallography: the euclidean isometries
- Cosmic crystallography in a circle
- Cosmic crystallography: the hyperbolic isometries