Title:
Graph directed Markov systems : geometry and dynamics of limit sets
Personal Author:
Series:
Cambridge tracts in mathematics; 148
Publication Information:
Cambridge, UK : Cambridge University Press, 2003
ISBN:
9780521825382
Added Author:
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000010025921 | QA274.7 M38 2003 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
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.
Table of Contents
| Introduction |
| 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 |
