図書館

$Conformal fractals : ergodic theory methods, : pbk$

Conformal fractals : ergodic theory methods, : pbk

Feliks Przytycki, Mariusz Urbański

Cambridge, U.K. ; New York : Cambridge University Press, 2010

図書等

巻号情報

: pbk

No.	所在	請求記号	資料ID	資料タイプ	状況（返却予定日）	コレクション	備考	予約・取り寄せ人数
1	中央	410.8-L84-371	10010002961	一般図書

詳細情報

刊年: 2010

形態: x, 354 p. ; 23 cm

シリーズ名: London Mathematical Society lecture note series ; 371

注記

Summary: "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"--Provided by publisher

Summary: "Introduction can be generalized to conformal linear Cantor and other fractal sets in C: Let U ? C be a bounded connected domain and Ti(z) = ?iz + ai, where ?i, ai are complex numbers, i = 1, . . . , n > 1"--Provided by publisher

Includes bibliographical references (p. 336-348) and index