Conformal Fractals - 9780521438001

This is a comprehensive and self-contained introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory and thermodynamical formalism, and then focus on recent developments in the field of 1-dimensional holomorphic iterations and underlying fractal sets, from the point of view of geometric measure theory and rigidity Detailed proofs are included.

Developed from university courses taught by the authors, this book is ideal for graduate students. Researchers will also find it a valuable source of reference to a large and rapidly expanding field, It eases the reader into the subject and provides a vital springboard for those beginning their own research. The authors also include many helpful exercises to aid understanding of the material presented, and provide links to further reading and related areas of research.