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Growth and Isoperimetric Profile of Planar Graphs

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Part of the Lecture Notes in Mathematics book series (LNMECOLE,volume 2100)

Abstract

In this section we review a joint work with Panos Papasoglu, see [BP11], in which the following is proved:

Keywords

  • Isoperimetric Profile
  • Planar Graphs
  • Uniform Infinite Planar Triangulation (UIPT)
  • Volume Doubling Property
  • Simple Random Walk

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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References

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Benjamini, I. (2013). Growth and Isoperimetric Profile of Planar Graphs. In: Coarse Geometry and Randomness. Lecture Notes in Mathematics(), vol 2100. Springer, Cham. https://doi.org/10.1007/978-3-319-02576-6_7

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