Discrete probability and the geometry of graphs
We prove several theorems concerning random walks, harmonic functions, percolation, uniform spanning forests, and circle packing, often in combination with each other. We study these models primarily on planar graphs, on transitive graphs, and on unimodular random rooted graphs, although some of our...
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| Language: | English |
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University of British Columbia
2017
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| Online Access: | http://hdl.handle.net/2429/62595 |