Julia sets and complex singularities of free energies /

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Qiao, Jianyong, 1962- (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 2014.
Collection:Memoirs of the American Mathematical Society ; Volume 234, no. 1102 (second of 5 numbers)
Sujets:
Julia sets.
Fractals.
Ensembles de Julia.
Fractales.
fractals.
Fractals
Julia sets
Accès en ligne:Texto completo
Table des matières:
  • Cover
  • Title page
  • Introduction
  • Chapter 1. Complex dynamics and Potts models
  • 1.1. Iterations of a rational map
  • 1.2. Julia sets related to Potts models
  • Chapter 2. Dynamical complexity of renormalization transformations
  • 2.1. Factorization of renormalization transformations
  • 2.2. Classification of dynamical systems
  • 2.3. Iteration of real maps
  • 2.4. Iteration of the real map _{ }
  • 2.5. Complex singularities associated with Feigenbaum phenomenon
  • Chapter 3. Connectivity of Julia sets
  • 3.1. (_{ }) with variant parameters
  • 3.2. Connectivity numbers of periodic domains of _{ }3.3. The proof of Theorem 3.3
  • 3.4. Disconnected Julia set (_{2 })
  • Chapter 4. Jordan domains and Fatou components
  • 4.1. Local connectedness of (_{ })
  • 4.2. Jordan domains in (_{ })
  • 4.3. Jordan curve and (_{ })
  • Chapter 5. Critical exponent of free energy
  • 5.1. Free energy on Fatou set
  • 5.2. Boundary behavior of free energy
  • 5.3. Thermodynamical formalism
  • 5.4. Critical exponent
  • Acknowledgements
  • Bibliography
  • Back Cover

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