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Combinations of complex dynamical systems / Kevin M. Pilgrim

By: Resource type: Ressourcentyp: BuchBookLanguage: English Series: Lecture notes in mathematics ; 1827Publisher: Berlin ; Heidelberg [u.a.] : Springer, 2003Description: IX, 118 S : graph. DarstISBN:
  • 9783540201731
  • 3540201734
Subject(s): Additional physical formats: Erscheint auch als: Combinations of Complex Dynamical Systems. Online-Ausgabe Berlin, Heidelberg : Springer Berlin Heidelberg, 2003. Online-Ressource (XII, 120 p, online resource)DDC classification:
  • 510 515.39
  • 515.39
  • s
  • 515/.39
  • 510
  • 510 s
MSC: MSC: *37F20 | 37-02 | 37E99RVK: RVK: SI 850 | SK 750LOC classification:
  • QA3
  • QA614.8
Summary: This work is a research-level monograph whose goal is to develop a general combination, decomposition, and structure theory for branched coverings of the two-sphere to itself, regarded as the combinatorial and topological objects which arise in the classification of certain holomorphic dynamical systems on the Riemann sphere. It is intended for researchers interested in the classification of those complex one-dimensional dynamical systems which arein some loose sensetame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups. TOC:Introduction.-Preliminaries.-Combinations.- Uniqueness of combinations.-Decompositions.-Uniqueness of decompositions.- Counting classes of annulus maps.-Applications to mapping class groups.Examples.-Canonical decomposition theoremPPN: PPN: 371472261
Holdings
Item type Home library Shelving location Call number Status Date due Barcode Item holds
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Lect. notes / 1827 Available 36351373090
Total holds: 0

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