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Graph Directed Markov Systems

Graph Directed Markov Systems
Geometry and Dynamics of Limit Sets

$131.00 (C)

Part of Cambridge Tracts in Mathematics

  • Date Published: August 2003
  • availability: Available
  • format: Hardback
  • isbn: 9780521825382

$ 131.00 (C)

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About the Authors
  • 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
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    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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    Product details

    • Date Published: August 2003
    • format: Hardback
    • isbn: 9780521825382
    • length: 294 pages
    • dimensions: 235 x 161 x 23 mm
    • weight: 0.541kg
    • availability: Available
  • 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.

  • Authors

    R. Daniel Mauldin, University of North Texas

    Mariusz Urbanski, University of North Texas

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