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Conformal Fractals: Ergodic Theory Methods

Publisher: 
Cambridge University Press
Number of Pages: 
354
Price: 
78.00
ISBN: 
9780521438001
Date Received: 
Wednesday, June 23, 2010
Reviewable: 
Include In BLL Rating: 
Reviewer Email Address: 
Feliks Przytycki and Mariusz Urbański
Series: 
London Mathematical Society Lecture Note Series 371
Publication Date: 
2010
Format: 
Paperback
Category: 
Monograph

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.

Publish Book: 
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Saturday, September 4, 2010

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