Julia sets and complex singularities of free energies / / Jianyong Qiao
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| Autore: |
Qiao Jianyong <1962->
|
| Titolo: |
Julia sets and complex singularities of free energies / / Jianyong Qiao
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2014 |
| ©2014 | |
| Descrizione fisica: | 1 online resource (89 p.) |
| Disciplina: | 515/.39 |
| Soggetto topico: | Julia sets |
| Fractals | |
| Note generali: | Description based upon print version of record. |
| Nota di bibliografia: | Includes bibliographical references. |
| 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"" | |
| Titolo autorizzato: | Julia sets and complex singularities of free energies |
| ISBN: | 1-4704-2029-5 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910826589803321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 234, Number 1102 (second of 5 numbers)