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Combinations of Complex Dynamical Systems [electronic resource] /
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.
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| Format: | Texto biblioteca |
| Language: | eng |
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Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
2003
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| Subjects: | Mathematics., Dynamics., Ergodic theory., Functions of complex variables., Global analysis (Mathematics)., Manifolds (Mathematics)., Functions of a Complex Variable., Dynamical Systems and Ergodic Theory., Global Analysis and Analysis on Manifolds., |
| Online Access: | http://dx.doi.org/10.1007/b14147 |
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KOHA-OAI-TEST:2071252018-07-30T23:37:28ZCombinations of Complex Dynamical Systems [electronic resource] / Pilgrim, Kevin M. author. SpringerLink (Online service) textBerlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,2003.engThis 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.Introduction -- Preliminaries -- Combinations -- Uniqueness of combinations -- Decompositions -- Uniqueness of decompositions -- Counting classes of annulus maps -- Applications to mapping class groups. Examples -- Canonical decomposition theorem.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.Mathematics.Dynamics.Ergodic theory.Functions of complex variables.Global analysis (Mathematics).Manifolds (Mathematics).Mathematics.Functions of a Complex Variable.Dynamical Systems and Ergodic Theory.Global Analysis and Analysis on Manifolds.Springer eBookshttp://dx.doi.org/10.1007/b14147URN:ISBN:9783540399360 |
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| language |
eng |
| topic |
Mathematics. Dynamics. Ergodic theory. Functions of complex variables. Global analysis (Mathematics). Manifolds (Mathematics). Mathematics. Functions of a Complex Variable. Dynamical Systems and Ergodic Theory. Global Analysis and Analysis on Manifolds. Mathematics. Dynamics. Ergodic theory. Functions of complex variables. Global analysis (Mathematics). Manifolds (Mathematics). Mathematics. Functions of a Complex Variable. Dynamical Systems and Ergodic Theory. Global Analysis and Analysis on Manifolds. |
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Mathematics. Dynamics. Ergodic theory. Functions of complex variables. Global analysis (Mathematics). Manifolds (Mathematics). Mathematics. Functions of a Complex Variable. Dynamical Systems and Ergodic Theory. Global Analysis and Analysis on Manifolds. Mathematics. Dynamics. Ergodic theory. Functions of complex variables. Global analysis (Mathematics). Manifolds (Mathematics). Mathematics. Functions of a Complex Variable. Dynamical Systems and Ergodic Theory. Global Analysis and Analysis on Manifolds. Pilgrim, Kevin M. author. SpringerLink (Online service) Combinations of Complex Dynamical Systems [electronic resource] / |
| description |
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. |
| format |
Texto |
| topic_facet |
Mathematics. Dynamics. Ergodic theory. Functions of complex variables. Global analysis (Mathematics). Manifolds (Mathematics). Mathematics. Functions of a Complex Variable. Dynamical Systems and Ergodic Theory. Global Analysis and Analysis on Manifolds. |
| author |
Pilgrim, Kevin M. author. SpringerLink (Online service) |
| author_facet |
Pilgrim, Kevin M. author. SpringerLink (Online service) |
| author_sort |
Pilgrim, Kevin M. author. |
| title |
Combinations of Complex Dynamical Systems [electronic resource] / |
| title_short |
Combinations of Complex Dynamical Systems [electronic resource] / |
| title_full |
Combinations of Complex Dynamical Systems [electronic resource] / |
| title_fullStr |
Combinations of Complex Dynamical Systems [electronic resource] / |
| title_full_unstemmed |
Combinations of Complex Dynamical Systems [electronic resource] / |
| title_sort |
combinations of complex dynamical systems [electronic resource] / |
| publisher |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, |
| publishDate |
2003 |
| url |
http://dx.doi.org/10.1007/b14147 |
| work_keys_str_mv |
AT pilgrimkevinmauthor combinationsofcomplexdynamicalsystemselectronicresource AT springerlinkonlineservice combinationsofcomplexdynamicalsystemselectronicresource |
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1756268342622027776 |