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Graph Directed Markov Systems

Graph Directed Markov Systems

Graph Directed Markov Systems

Geometry and Dynamics of Limit Sets
Authors:
R. Daniel Mauldin, University of North Texas
Mariusz Urbanski, University of North Texas
Published:
August 2003
Availability:
Available
Format:
Hardback
ISBN:
9780521825382

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CAD$173.95
(C) CAD
Hardback
$151.00 (Z) CAD
eBook

    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.

    • 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

    See more reviews

    Product details

    December 2004
    Adobe eBook Reader
    9780511056123
    0 pages
    0kg
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

    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.
      Authors
    • R. Daniel Mauldin , University of North Texas
    • Mariusz Urbanski , University of North Texas