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A conditionally sure ergodic theorem with an application to percolation

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Publication:404588
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DOI10.1016/j.spa.2014.06.007zbMath1320.60157OpenAlexW2033204643MaRDI QIDQ404588

Masato Takei, Michael S. Keane

Publication date: 4 September 2014

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spa.2014.06.007

zbMATH Keywords

percolationergodic theoremfractal-like graphs


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Dynamical systems and their relations with probability theory and stochastic processes (37A50)


Related Items

Near-critical 2D percolation with heavy-tailed impurities, forest fires and frozen percolation



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Uniqueness of the infinite cluster and continuity of connectivity functions for short and long range percolation
  • Density and uniqueness in percolation
  • Non-existence of phase transition of oriented percolation on Sierpiński carpet lattices
  • Infinite clusters in percolation models
  • Existence of phase transition of percolation on Sierpiński carpet lattices
  • Subadditive mean ergodic theorems
  • Percolation
  • Uniqueness of the infinite open cluster for high-density percolation on lattice Sierpiński carpet
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