Book contents
- Frontmatter
- 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 rep ellers 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
- References
- Index
5 - Thermodynamical formalism
Published online by Cambridge University Press: 05 April 2013
Book contents
- Frontmatter
- 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 rep ellers 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
- References
- Index
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- Conformal FractalsErgodic Theory Methods, pp. 131 - 165Publisher: Cambridge University PressPrint publication year: 2010