Graph Directed Markov Systems: Geometry and Dynamics of Limit Sets (Cambridge Tracts in Mathematics)

 
9780511543050: Graph Directed Markov Systems: Geometry and Dynamics of Limit Sets (Cambridge Tracts in Mathematics)

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.

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Book Description:

The main focus of this book is the development of the theory of Graph Directed Markov Systems. This far reaching generalisation of the theory of conformal iterated systems can be applied in many situations, including the theory of dynamical systems. This text is very timely and is written by acknowledged experts in the field. The authors have included much of the necessary background material to increase the appeal of this book to graduate students as well as researchers. There is also an extensive list of references suggesting further reading.

Review:

"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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