Combinations of complex dynamical systems / Kevin M. Pilgrim.

Format:

Book

Author/Creator:

Pilgrim, Kevin M., 1967-

Series:

Lecture notes in mathematics (Springer-Verlag) ; 1827.

Lecture notes in mathematics, 0075-8434 ; 1827

Language:

English

Subjects (All):

Differentiable dynamical systems.

Physical Description:

ix, 118 pages : illustrations ; 24 cm.

Place of Publication:

Berlin ; New York : Springer, [2003]

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 are in some loose sense tame. The program is motivated by the dictionary between the theories of iterated rational maps and Kleinian groups.

Notes:

Includes bibliographical references and index.

ISBN:

3540201734

OCLC:

53019297