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Coarse Geometry and Randomness: Ecole d'Ete de Probabilites de Saint-Flour XLI - 2011 by Itai Benjamini (Paperback, 2013)

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About this product

Product Information

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 some random metric spaces modeled by graphs that turn out to be somewhat exotic, that is, they admit a combination of properties not encountered in the vertex transitive world. These include percolation clusters on vertex transitive graphs, critical clusters, local and scaling limits of graphs, long range percolation, CCCP graphs obtained by contracting percolation clusters on graphs, and stationary random graphs, including the uniform infinite planar triangulation (UIPT) and the stochastic hyperbolic planar quadrangulation (SHIQ).

Product Identifiers

Publisher
Springer International Publishing Ag
ISBN-13
9783319025759
eBay Product ID (ePID)
190210894

Product Key Features

Subject Area
Mechanical Engineering
Author
Itai Benjamini
Publication Name
Coarse Geometry and Randomness: Ecole D'ete De Probabilites De Saint-Flour Xli-2011
Format
Paperback
Language
English
Subject
Mathematics, Physics
Publication Year
2013
Type
Textbook
Number of Pages
129 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
2100
Item Weight
2234g

Additional Product Features

Title_Author
Itai Benjamini
Series Title
Ecole D'ete De Probabilites De Saint-Flour
Country/Region of Manufacture
Switzerland

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