Cylinders' percolation in three dimensions

DOI10.1007/s00440-014-0600-xzbMath1333.60205arXiv1202.1684OpenAlexW2065075253MaRDI QIDQ892162

Marcelo Richard Hilário, Augusto Q. Teixeira, Vladas Sidoravićius

Publication date: 18 November 2015

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1684

zbMATH Keywords

percolationphase transitioninfinite cylinders

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Processes in random environments (60K37)

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Cites Work

• Unnamed Item
• Connectivity bounds for the vacant set of random interlacements
• On the size of a finite vacant cluster of random interlacements with small intensity
• Vacant set of random interlacements and percolation
• On the uniqueness of the infinite cluster of the vacant set of random interlacements
• On continuum percolation
• Density and uniqueness in percolation
• The Brownian loop soup
• Indistinguishability of percolation clusters
• Hard ball systems and the Lorentz gas
• Percolation in the vacant set of Poisson cylinders
• The Clairvoyant Demon Has a Hard Task
• Random soups, carpets and fractal dimensions
• Random walk loop soup
• Percolation for the vacant set of random interlacements
• Connectedness of Poisson cylinders in Euclidean space