Introduction
Local central limit theorem
Approximation by Brownian motion
The Green's function
One-dimensional walks
Potential theory
Dyadic coupling
Additional topics on simple random walk
Loop measures
Intersection probabilities for random walks
Loop-erased random walk.
Random walk : a modern introduction by Gregory F. Lawler. ISBN 9780521519182. Published by Cambridge University Press in 2010. Publication and catalogue information, links to buy online and reader comments.