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Julia sets and complex singularities of free energies / / Jianyong Qiao
| Julia sets and complex singularities of free energies / / Jianyong Qiao |
| Autore | Qiao Jianyong <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (89 p.) |
| Disciplina | 515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Julia sets
Fractals |
| Soggetto genere / forma | Electronic books. |
| ISBN | 1-4704-2029-5 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910480116903321 |
Qiao Jianyong <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Julia sets and complex singularities of free energies / / Jianyong Qiao
| Julia sets and complex singularities of free energies / / Jianyong Qiao |
| Autore | Qiao Jianyong <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (89 p.) |
| Disciplina | 515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Julia sets
Fractals |
| ISBN | 1-4704-2029-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910797017803321 |
|
Qiao Jianyong <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Julia sets and complex singularities of free energies / / Jianyong Qiao
| Julia sets and complex singularities of free energies / / Jianyong Qiao |
| Autore | Qiao Jianyong <1962-> |
| Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| Descrizione fisica | 1 online resource (89 p.) |
| Disciplina | 515/.39 |
| Collana | Memoirs of the American Mathematical Society |
| Soggetto topico |
Julia sets
Fractals |
| ISBN | 1-4704-2029-5 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
""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"" |
| Record Nr. | UNINA-9910826589803321 |
|
Qiao Jianyong <1962->
|
||
| Providence, Rhode Island : , : American Mathematical Society, , 2014 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||