2009, English, Article edition: Covering the whole space with Poisson random balls Biermé, Hermine; Estrade, Anne

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Bookmark: http://trove.nla.gov.au/version/206311
Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Covering the whole space with Poisson random balls
Author
  • Biermé, Hermine
  • Estrade, Anne
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • We consider Poisson random balls models generalizing Boolean models with balls for grains. We investigate necessary and sufficient conditions for covering the whole space with these balls. Our arguments are based on both stochastic geometry and martingale theory. Following the framework of percolation theory, a critical regime is exhibited and bounds for critical intensities are obtained.
  • HAL:hal-00406965, version 1
  • HAL:http:/​/​hal.archives-ouvertes.fr/​hal-00406965/​en/​
Language
  • English
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