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Julia sets and complex singularities of free energies /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2014.
|
| Colección: | Memoirs of the American Mathematical Society ;
Volume 234, no. 1102 (second of 5 numbers) |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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