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Conformal Fractals: Ergodic Theory Methods

Feliks Przytycki and Mariusz Urbański
Publisher: 
Cambridge University Press
Publication Date: 
2010
Number of Pages: 
354
Format: 
Paperback
Series: 
London Mathematical Society Lecture Note Series 371
Price: 
78.00
ISBN: 
9780521438001
Category: 
Monograph
We do not plan to review this book.

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

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