Coarse Geometry and Randomness: Ecole D'Ete de Probabilites de Saint-Flour XLI - 2011

By Itai Benjamini

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.

• Format: Paperback
• Language: English
• ISBN: 3319025759
• ISBN13: 9783319025759
• Release Date: December 2013
• Publisher: Springer
• Length: 129 Pages
• Weight: 0.45 lbs.
• Dimensions: 0.4" x 6.0" x 9.0"