Coarse Geometry and Randomness

Name: Coarse Geometry and Randomness
Brand: Springer International Publishing AG
SKU: 9783319025759
Price: 194.1 RON
Availability: InStock

École d'Été de Probabilités de Saint-Flour XLI - 2011

Autor: Itai Benjamini

Limbă:

Legare: Carte broșată

Editura: Springer International Publishing AG

Disponibilitate: În depozitul extern

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These lecture notes study the interplay between randomness and geometry of graphs. The first part of...

Informații despre carte

Autor

Itai Benjamini

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2013

Pagini

129

EAN

9783319025759

ISBN

3319025759

Enbook ID

05266874

Editura

Springer International Publishing AG

Greutate

230

Dimensiuni

235 x 160 x 9

Descriere completă

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).§

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Coarse Geometry and Randomness

École d'Été de Probabilités de Saint-Flour XLI - 2011

Informații despre carte

Descriere completă

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