This book provides a careful survey of the remarkable new results about harmonic measure in the complex plane, and an introduction to harmonic measure on plane domains. Many results, due to Bishop, Carleson, Jones, Makarov, Wolff, Bertilsson, Pommerenke and others, appear here in paperback for the first time.

An introduction to harmonic measure on plane domains and careful discussion of the work of Makarov, Carleson, Jones and others.