Graph Directed Markov Systems
Geometry and Dynamics of Limit Sets
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The main focus of this book is on the development of the theory of Graph Directed Markov Systems. This far-reaching generalization of the theory of conformal iterated systems can be applied in many situations, including the theory of dynamical systems. Dan Mauldin and Mariusz Urbanski include much of the necessary background material to increase the appeal of this book to graduate students as well as researchers. They also include an extensive list of references for further reading.Read more
- Definitive account of this topic
- Includes necessary background material as well as references for further reading
Reviews & endorsements
"The authors provide in this monograph a state-of-the-art account on the geometry and dynamics of limit sets arising from graph directed Markov systems (GDMS)."
Marc Kessebohmer, Mathematical Reviews
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- Date Published: December 2004
- format: Adobe eBook Reader
- isbn: 9780511056123
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
1. Symbolic dynamics
3. Hölder families of functions
4. Conformal graph directed Markov systems
5. Examples of graph directed Markov systems
6. Conformal iterated function systems
7. Dynamical rigidity of conformal iterated function systems
8. Parabolic iterated function systems
9. Parabolic systems: Hausdorff and packing measures.
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