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Percolation processes and dimensionality

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1212)

Abstract

We discuss bond percolation on the cubic lattice ℤd in dimensions d=1,2,3, paying particular attention to the ways in which such processes "evolve" as the dimension increases from d=1 through d=2 to d=3. There are many conjectures.

Keywords

  • Critical Behaviour
  • Critical Phenomenon
  • Open Cluster
  • Percolation Theory
  • Percolation Model

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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© 1986 Springer-Verlag

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Grimmett, G. (1986). Percolation processes and dimensionality. In: Tautu, P. (eds) Stochastic Spatial Processes. Lecture Notes in Mathematics, vol 1212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076246

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  • DOI: https://doi.org/10.1007/BFb0076246

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16803-4

  • Online ISBN: 978-3-540-47053-3

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