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Poisson cylinders i...
Poisson cylinders in hyperbolic space
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- Broman, Erik, 1977 (författare)
- Uppsala universitet,Analys och sannolikhetsteori
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- Tykesson, Johan, 1979 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematisk statistik,Department of Mathematical Sciences, Mathematical Statistics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
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(creator_code:org_t)
- 2015
- 2015
- Engelska.
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Ingår i: Electronic Journal of Probability. - 1083-6489. ; 20:41, s. 1-25
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Abstract
Ämnesord
Stäng
- We consider the Poisson cylinder model in d-dimensional hyperbolic space. We show that in contrast to the Euclidean case, there is a phase transition in the connectivity of the collection of cylinders as the intensity parameter varies. We also show that for any non-trivial intensity, the diameter of the collection of cylinders is infinite.
Ämnesord
- NATURVETENSKAP -- Matematik -- Sannolikhetsteori och statistik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Probability Theory and Statistics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- Poisson cylinders
- hyperbolic space
- continuum percolation
- RANDOM INTERLACEMENTS
- PERCOLATION
- PLANE
- Statistics & Probability
- RANDOM INTERLACEMENTS
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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