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Autor: R. Daniel Mauldin
ISBN-13: 9780511056123
Einband: PDF
Seiten: 0
Sprache: Englisch
eBook Typ: PDF
eBook Format: PDF
Kopierschutz: Adobe DRM [Hard-DRM]
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Graph Directed Markov Systems

Cambridge Tracts in Mathematics
Geometry and Dynamics of Limit Sets
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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.
1
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.

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Autor: R. Daniel Mauldin
ISBN-13 :: 9780511056123
ISBN: 0511056125
Verlag: Cambridge University Press
Sprache: Englisch
Sonstiges: Ebook, Maximale Downloadanzahl: 6