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Critical Probabilities of 1-Independent Percolation Models

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Publication:2883850
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DOI10.1017/S0963548311000538zbMath1241.05099OpenAlexW2091172840MaRDI QIDQ2883850

Béla Bollobás, Paul N. Balister

Publication date: 14 May 2012

Published in: Combinatorics, Probability and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0963548311000538


Mathematics Subject Classification ID

Trees (05C05) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Infinite graphs (05C63)


Related Items

1‐independent percolation on ℤ2×Kn, Long paths and connectivity in 1‐independent random graphs



Cites Work

  • Random walks and percolation on trees
  • Domination by product measures
  • Percolation
  • Uniqueness in percolation theory
  • Substitution Method Critical Probability Bounds for the Square Lattice Site Percolation Model
  • A new lower bound for the critical probability of site percolation on the square lattice
  • Continuum percolation with steps in the square or the disc
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