Uniqueness of the infinite entangled component in three-dimensional bond percolation

DOI10.1214/aop/1008956325zbMath1013.60083OpenAlexW1596604612MaRDI QIDQ1872179

Olle Häggström

Publication date: 6 May 2003

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1008956325

zbMATH Keywords

entanglement percolationuniqueness montonicity

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Percolation (82B43)

Related Items (2)

Rigidity percolation and boundary conditions. ⋮ On the number of entangled clusters

Cites Work

• Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation
• Density and uniqueness in percolation
• Monotonicity of uniqueness for percolation on Cayley graphs: All infinite clusters are born simultaneously
• Group-invariant percolation on graphs
• Existence and uniqueness of infinite components in generic rigidity percolation
• Infinite clusters in percolation models
• Uniqueness in two-dimensional rigidity percolation
• Phase transitions on nonamenable graphs
• ENTANGLEMENT IN PERCOLATION
• Existence of a phase transition for entanglement percolation
• Unnamed Item
• Unnamed Item

This page was built for publication: Uniqueness of the infinite entangled component in three-dimensional bond percolation