Connectedness of Poisson cylinders in Euclidean space

DOI10.1214/14-AIHP641zbMath1333.60197arXiv1304.6357OpenAlexW1559154931MaRDI QIDQ5963211

Johan H. Tykesson, Erik I. Broman

Publication date: 4 March 2016

Published in: Annales de l'Institut Henri Poincaré. Probabilités et Statistiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6357

zbMATH Keywords

continuum percolationPoisson cylinder model

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (8)

Cylinders' percolation in three dimensions ⋮ Continuum percolation in a nonstabilizing environment ⋮ The fractal cylinder process: existence and connectivity phase transitions ⋮ The component graph of the uniform spanning forest: transitions in dimensions \(9,10,11,\ldots\) ⋮ Concentration inequalities for functionals of Poisson cylinder processes ⋮ Gilbert's disc model with geostatistical marking ⋮ Higher-dimensional stick percolation ⋮ Shape theorem and surface fluctuation for Poisson cylinders

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