Differentiable and Complex Dynamics of Several Variables by Pei-Chu HuDifferentiable and Complex Dynamics of Several Variables by Pei-Chu Hu

Differentiable and Complex Dynamics of Several Variables

byPei-Chu Hu, Chung-Chun Yang

Paperback | December 5, 2010

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This book gives a comprehensive and up-to-date survey on dynamics and related topics, such as Fatou-Julia type theory, the Ergodic theorem and invariant sets, hyperbolicity in differentiable or complex dynamics, iterant ion theory on Pm, complex dynamics in Cm and the foundations of differentiable and complex dynamics. The main aims of this volume are, firstly, to advance the study of the above-named topics and to establish the corresponding Fatou-Julia results for complex manifolds, and, secondly, to provide some advanced account of dynamical systems within the framework of geometry and analysis, presented from a unified approach applicable to both real and complex manifolds. Audience: This work will be of interest to graduate students and researchers involved in the fields of global analysis, analysis on manifolds, several complex variables and analytic spaces, partial differential equations, differential geometry, measure and integration.
Title:Differentiable and Complex Dynamics of Several VariablesFormat:PaperbackDimensions:350 pages, 9.25 × 6.1 × 0.03 inPublished:December 5, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048152461

ISBN - 13:9789048152469

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Table of Contents

1. Fatou-Julia type theory. 2. Ergodic theorems and invariant sets. 3. Hyperbolicity in differentiable dynamics. 4. Some topics in dynamics. 5. Hyperbolicity in complex dynamics. 6. Iteration theory on Pm. 7. Complex dynamics in Cm. A. Foundations of differentiable dynamics. B. Foundations of complex dynamics. Bibliography. Index.