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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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.
"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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Hardcover. Condition: new. Hardcover. The main focus of this book is the exploration of the geometric and dynamic properties of a far reaching generalization of a conformal iterated function system - a Graph Directed Markov System. These systems are very robust in that they apply to many settings that do not fit into the scheme of conformal iterated systems. The basic theory is laid out here and the authors have touched on many natural questions arising in its context. However, they also emphasise the many issues and current research topics which can be found in original papers. For example the detailed analysis of the structure of harmonic measures of limit sets, the examination of the doubling property of conformal measures, the extensive study of generalized polynomial like mapping or multifractal analysis of geometrically finite Kleinian groups. This book leads readers onto frontier research in the field, making it ideal for both established researchers and graduate students. A monograph on graph directed Markov Systems with backgound and research level material Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521825382
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