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 holo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Przytycki, Feliks
Otros Autores: Urbanski, Mariusz
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2010.
Colección:London Mathematical Society lecture note series.
Temas:
Conformal geometry.
Ergodic theory.
Fractals.
Iterative methods (Mathematics)
Géométrie conforme.
Théorie ergodique.
Fractales.
Itération (Mathématiques)
fractals.
MATHEMATICS > Topology.
Conformal geometry
Ergodic theory
Fractals
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.

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