Conformal fractals - Info and Reading Options
ergodic theory methods
By Feliks Przytycki
"Conformal fractals" was published by Cambridge University Press in 2010 - Cambridge, it has 354 pages and the language of the book is English.
“Conformal fractals” Metadata:
- Title: Conformal fractals
- Author: Feliks Przytycki
- Language: English
- Number of Pages: 354
- Publisher: Cambridge University Press
- Publish Date: 2010
- Publish Location: Cambridge
- Dewey Decimal Classification: 514/.742
- Library of Congress Classification: QA609 .P79 2010
“Conformal fractals” Subjects and Themes:
- Subjects: Conformal geometry - Fractals - Ergodic theory - Iterative methods (Mathematics)
Edition Specifications:
- Pagination: x, 354 p. :
Edition Identifiers:
- The Open Library ID: OL24586118M - OL15640432W
- Online Computer Library Center (OCLC) ID: 460059767
- Library of Congress Control Number (LCCN): 2009054019
- ISBN-13: 9780521438001
- ISBN-10: 0521438004
- All ISBNs: 0521438004 - 9780521438001
AI-generated Review of “Conformal fractals”:
"Conformal fractals" Table Of Contents:
- 1- Introduction
- 2- 1. Basic examples and definitions 2. Measure-preserving endomorphisms
- 3- 3. Ergodic theory on compact metric spaces
- 4- 4. Distance-expanding maps
- 5- 5. Thermodynamical formalism
- 6- 6. Expanding repellers in manifolds and in the Riemann sphere: preliminaries
- 7- 7. Cantor repellers in the line; Sullivan's scaling function; application in Feigenbaum universality
- 8- 8. Fractal dimensions
- 9- 9. Conformal expanding repellers
- 10- 10. Sullivan's classification of conformal expanding repellers
- 11- 11. Holomorphic maps with invariant probability measures of positive Lyapunov exponent
- 12- 12. Conformal measures.
"Conformal fractals" Description:
The Open Library:
"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.
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