On distances in uniformly random networks

@article{Haenggi2005OnDI,
  title={On distances in uniformly random networks},
  author={Martin Haenggi},
  journal={IEEE Transactions on Information Theory},
  year={2005},
  volume={51},
  pages={3584-3586}
}
The distribution of Euclidean distances in Poisson point processes is determined. The main result is the density function of the distance to the n-nearest neighbor of a homogeneous process in Ropfm, which is shown to be governed by a generalized Gamma distribution. The result has many implications for large wireless networks of randomly distributed nodes 
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