Invasion percolation on regular trees : structure, scaling limit and ponds

Invasion percolation is an infinite subgraph of an infinite connected graph with finite degrees, defined inductively as follows. To each edge of the underlying graph, attach a random edge weight chosen uniformly from [0,1], independently for each edge. Starting from a single vertex, a cluster is g...

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Bibliographic Details
Main Author: Goodman, Jesse Alexander
Language:English
Published: University of British Columbia 2010
Online Access:http://hdl.handle.net/2429/25744