TY - BOOK AU - Przytycki,Feliks AU - UrbaƄski,Mariusz TI - Conformal Fractals: Ergodic Theory Methods T2 - London Mathematical Society Lecture Note Series SN - 9781139193184 (ebook) AV - QA609 .P79 2010 U1 - 514/.742 22 PY - 2010/// CY - Cambridge PB - Cambridge University Press KW - Conformal geometry KW - Fractals KW - Ergodic theory KW - Iterative methods (Mathematics) N1 - Title from publisher's bibliographic system (viewed on 16 Oct 2015) N2 - This is a one-stop introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory 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. Many helpful exercises are also included to aid understanding of the material presented and the authors provide links to further reading and related areas of research UR - http://dx.doi.org/10.1017/CBO9781139193184 ER -