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Coarse Geometry and Randomness: École d'Été de Probabilités de Saint-Flour XLI - 2011
Paperback
General MathematicsGeometryPhysics
ISBN13: 9783319025759
Publisher: Springer
Published: Dec 19 2013
Pages: 129
Weight: 0.45
Height: 0.40 Width: 6.00 Depth: 9.00
Language: English
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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