Uniqueness of the infinite open cluster for high-density percolation on lattice Sierpiński carpet

DOI10.1007/s101140000100zbMath0981.60095OpenAlexW2110873872MaRDI QIDQ5936969

Xian Yuan Wu

Publication date: 14 March 2002

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s101140000100

zbMATH Keywords

rescalingFKG inequalityinfinite open clusterlattice Sierpiński carpet

Mathematics Subject Classification ID

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

Related Items (2)

A conditionally sure ergodic theorem with an application to percolation ⋮ Remarks on central limit theorems for the number of percolation clusters

Cites Work

• On a sharp transition from area law to perimeter law in a system of random surfaces
• Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation
• On the uniqueness of the infinite occupied cluster in dependent two- dimensional site percolation

This page was built for publication: Uniqueness of the infinite open cluster for high-density percolation on lattice Sierpiński carpet