The study of hyperbolic systems is a core theme of modern dynamics. On
surfaces the theory of the fine scale structure of hyperbolic invariant sets and
their measures can be described in a very complete and elegant way, and is
the subject of this book, largely self-contained, rigorously and clearly written.
It covers the most important aspects of the subject and is based on several
scientific works of the leading research workers in this field.
This book fills a gap in the literature of dynamics. We highly recommend
it for any Ph.D student interested in this area. The authors are well-known
experts in smooth dynamical systems and ergodic theory.