Publication Date: 2020
ISBN: 978-3-030-27968-4
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This book focuses on the interplay between random walks on planar maps and Koebe’s circle packing theorem. Further topics covered include electric networks, the He–Schramm theorem on infinite circle packings, uniform spanning trees of planar maps, local limits of finite planar maps and the almost sure recurrence of simple random walks on these limits
Subject: Mathematics and Statistics, Probability Theory and Stochastic, Processes, Discrete Mathematics, Geometry, Mathematical Physics, Circle Packing, Electric Networks, Planar Maps, Random Walk, Uniform Spanning Trees