[PDF.25ub] Coarse Geometry and Randomness: École d’Été de Probabilités de Saint-Flour XLI – 2011 (Lecture Notes in Mathematics)

Coarse Geometry and Randomness: École d’Été de Probabilités de Saint-Flour XLI – 2011 (Lecture Notes in Mathematics)

[PDF.am27] Coarse Geometry and Randomness: École d’Été de Probabilités de Saint-Flour XLI – 2011 (Lecture Notes in Mathematics)

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 | #3838749 in Books |  Itai Benjamini |  2013-12-19 |  2013-12-19 | Original language:English | PDF # 1 |  9.25 x.33 x6.10l,.45 | File type: PDF | 129 pages

 | Coarse Geometry and Randomness Ecole d Ete de Probabilites de Saint Flour XLI 2011 Lecture Notes in Mathematics

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||From the Back Cover||These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concepts, before moving on to examine the manifestation of the underlying geometry in the behavior

These lecture notes study the interplay between randomness and geometry of graphs. The first part of the notes reviews several basic geometric concepts, before moving on to examine the manifestation of the underlying geometry in the behavior of random processes, mostly percolation and random walk.

The study of the geometry of infinite vertex transitive graphs, and of Cayley graphs in particular, is fairly well developed. One goal of these notes is to point to so...

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