Cambridge Tracts in Mathematics: Graph Directed Markov Systems: Geometry and Dynamics of Limit Sets Series Number 148 (Hardback)
  • Cambridge Tracts in Mathematics: Graph Directed Markov Systems: Geometry and Dynamics of Limit Sets Series Number 148 (Hardback)
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Cambridge Tracts in Mathematics: Graph Directed Markov Systems: Geometry and Dynamics of Limit Sets Series Number 148 (Hardback)

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£82.00
Hardback 294 Pages / Published: 07/08/2003
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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.

Publisher: Cambridge University Press
ISBN: 9780521825382
Number of pages: 294
Weight: 541 g
Dimensions: 235 x 161 x 23 mm


MEDIA REVIEWS
"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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