Planar Maps, Random Walks and Circle Packing

by Asaf Nachmias

Book Overview

This open access 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. One of its main goals is to present a self-contained proof that the uniform infinite...

• Format: Paperback
• Language: English
• ISBN: 1013271122
• ISBN13: 9781013271120
• Release Date: October 2020
• Publisher: Saint Philip Street Press
• Length: 124 Pages
• Weight: 0.67 lbs.
• Dimensions: 0.3" x 8.5" x 11.0"