02901nam 2200553 450 991079701780332120170918214815.01-4704-2029-5(CKB)3710000000393409(EBL)3114296(SSID)ssj0001456718(PQKBManifestationID)11782658(PQKBTitleCode)TC0001456718(PQKBWorkID)11435342(PQKB)10973173(MiAaPQ)EBC3114296(RPAM)18343194(PPN)185867820(EXLCZ)99371000000039340920150416h20142014 uy 0engur|n|---|||||txtccrJulia sets and complex singularities of free energies /Jianyong QiaoProvidence, Rhode Island :American Mathematical Society,2014.©20141 online resource (89 p.)Memoirs of the American Mathematical Society,1947-6221 ;Volume 234, Number 1102 (second of 5 numbers)Description based upon print version of record.1-4704-0982-8 Includes bibliographical references.""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""Memoirs of the American Mathematical Society ;Volume 234, Number 1102 (second of 5 numbers)Julia setsFractalsJulia sets.Fractals.515/.39Qiao Jianyong1962-1494149MiAaPQMiAaPQMiAaPQBOOK9910797017803321Julia sets and complex singularities of free energies3717523UNINA