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Coarse Geometry and Randomness|Itai Benjamini

Coarse Geometry and Randomness : École d'Été de Probabilités de Saint-Flour XLI - 2011

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Overview

Isoperimetry and expansions in graphs.- Several metric notions.- The hyperbolic plane and hyperbolic graphs.- More on the structure of vertex transitive graphs.- Percolation on graphs.- Local limits of graphs.- Random planar geometry.- Growth and isoperimetric profile of planar graphs.- Critical percolation on non-amenable groups.- Uniqueness of the infinite percolation cluster.- Percolation perturbations.- Percolation on expanders.- Harmonic functions on graphs.- Nonamenable Liouville graphs.

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Details

  • ISBN-13: 9783319025759
  • ISBN-10: 3319025759
  • Publisher: Springer
  • Publish Date: December 2013
  • Dimensions: 9 x 6 x 0.4 inches
  • Shipping Weight: 0.45 pounds
  • Page Count: 129

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