Absence of site percolation at criticality in ℤ2×{0,1}

DOI10.1002/rsa.20544zbMath1328.60209arXiv1211.4138OpenAlexW2037117207MaRDI QIDQ3192384

Michael Damron, Vladas Sidoravićius, Charles M. Newman

Publication date: 12 October 2015

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.4138

zbMATH Keywords

percolationcritical valueopen pass

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (2)

Upper bounds on the percolation correlation length ⋮ Absence of Infinite Cluster for Critical Bernoulli Percolation on Slabs

Cites Work

• Percolation in half-spaces: Equality of critical densities and continuity of the percolation probability
• Invasion percolation and the incipient infinite cluster in 2D
• A note on percolation
• A SHORT PROOF OF THE HARRIS–KESTEN THEOREM

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