An edition of Conformal fractals (2010)

Conformal fractals

ergodic theory methods

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March 28, 2025 | History
An edition of Conformal fractals (2010)

Conformal fractals

ergodic theory methods

"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.

Publish Date
Language
English
Pages
354

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Edition Availability
Cover of: Conformal fractals
Conformal fractals: ergodic theory methods
2010, Cambridge University Press
in English

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Book Details


Table of Contents

Introduction
1. Basic examples and definitions 2. Measure-preserving endomorphisms
3. Ergodic theory on compact metric spaces
4. Distance-expanding maps
5. Thermodynamical formalism
6. Expanding repellers in manifolds and in the Riemann sphere: preliminaries
7. Cantor repellers in the line; Sullivan's scaling function; application in Feigenbaum universality
8. Fractal dimensions
9. Conformal expanding repellers
10. Sullivan's classification of conformal expanding repellers
11. Holomorphic maps with invariant probability measures of positive Lyapunov exponent
12. Conformal measures.

Edition Notes

Includes bibliographical references and index.

Published in
Cambridge, New York
Series
London Mathematical Society lecture note series -- 371, London Mathematical Society lecture note series -- 371.

Classifications

Dewey Decimal Class
514/.742
Library of Congress
QA609 .P79 2010

The Physical Object

Pagination
x, 354 p. :
Number of pages
354

Edition Identifiers

Open Library
OL24586118M
ISBN 10
0521438004
ISBN 13
9780521438001
LCCN
2009054019
OCLC/WorldCat
460059767

Work Identifiers

Work ID
OL15640432W

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
March 28, 2025 Edited by ImportBot Redacting ocaids
May 17, 2020 Edited by CoverBot Added new cover
April 6, 2014 Edited by ImportBot Added IA ID.
January 9, 2011 Created by ImportBot Imported from Library of Congress MARC record