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Uniqueness of the infinite component for percolation on a hierarchical lattice

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Publication:456611
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DOI10.5402/2012/758721zbMath1252.82060OpenAlexW2038124314WikidataQ58692267 ScholiaQ58692267MaRDI QIDQ456611

Yilun Shang

Publication date: 16 October 2012

Published in: ISRN Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5402/2012/758721

zbMATH Keywords

hierarchical lattice


Mathematics Subject Classification ID

Percolation (82B43) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)




Cites Work

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  • Percolation in an ultrametric space
  • Long-range percolation on the hierarchical lattice
  • Survival of contact processes on the hierarchical group
  • The growth of the infinite long-range percolation cluster
  • Uniqueness of the infinite component in a random graph with applications to percolation and spin glasses
  • Percolation beyond \(\mathbb{Z}^ d\), many questions and a few answers
  • Transience, recurrence and critical behavior for long-range percolation
  • On the scaling of the chemical distance in long-range percolation models
  • Discontinuity of the percolation density in one dimensional \(1/| x- y| ^ 2\) percolation models
  • Percolation
  • Percolation
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