Przytycki, Feliks,
Conformal Fractals : Ergodic Theory Methods / Feliks Przytycki, Mariusz Urbański. - Cambridge : Cambridge University Press, 2010. - 1 online resource (366 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 371 . - London Mathematical Society Lecture Note Series ; no. 371. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
9781139193184 (ebook)
Conformal geometry
Fractals
Ergodic theory
Iterative methods (Mathematics)
QA609 / .P79 2010
514/.742
Conformal Fractals : Ergodic Theory Methods / Feliks Przytycki, Mariusz Urbański. - Cambridge : Cambridge University Press, 2010. - 1 online resource (366 pages) : digital, PDF file(s). - London Mathematical Society Lecture Note Series ; no. 371 . - London Mathematical Society Lecture Note Series ; no. 371. .
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
9781139193184 (ebook)
Conformal geometry
Fractals
Ergodic theory
Iterative methods (Mathematics)
QA609 / .P79 2010
514/.742