During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of t

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

Recent developments in geometric measure theory and harmonic analysis have led to new and deep results concerning the regularity of the support of measures whic

This book is dedicated to Dennis Sullivan on the occasion of his 60th birthday. The framework of affine and hyperbolic laminations provides a unifying foundatio

Emphasizing integral formulas, the geometric theory of pseudoconvexity, estimates, partial differential equations, approximation theory, inner functions, invari