Combinations of Complex Dynamical Systems
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Beschreibung
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 are in some loose sense tame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups.
Autor*in
Kevin M. Pilgrim
Themen in »Combinations of Complex Dynamical Systems«
Canon Complex dynamics Counting boundary element method class classification dynamical systems mapping object postcritically finite theorem