"Graph directed Markov systems" - Information and Links:

Graph directed Markov systems - Info and Reading Options

geometry and dynamics of limit sets

Book's cover
The cover of “Graph directed Markov systems” - Open Library.

"Graph directed Markov systems" was published by Cambridge University Press in 2003 - Cambridge, it has 281 pages and the language of the book is English.


“Graph directed Markov systems” Metadata:

  • Title: Graph directed Markov systems
  • Author:
  • Language: English
  • Number of Pages: 281
  • Publisher: Cambridge University Press
  • Publish Date:
  • Publish Location: Cambridge
  • Dewey Decimal Classification: 519.2/33519.233
  • Library of Congress Classification: QA274.7 .M39 2003QA247.7 .M38 2003

“Graph directed Markov systems” Subjects and Themes:

Edition Specifications:

  • Number of Pages: xi, 281 p. ; 24 cm.
  • Pagination: xi, 281 p. ;

Edition Identifiers:

AI-generated Review of “Graph directed Markov systems”:


"Graph directed Markov systems" Table Of Contents:

  • 1- Introduction
  • 2- 1. Preliminaries
  • 3- 2. Symbolic dynamics
  • 4- 3. Hḻder families of functions
  • 5- 4. Conformal graph directed Markov systems
  • 6- 5. Examples of graph directed Markov systems
  • 7- 6. Conformal iterated function systems
  • 8- 7. Dynamical rigidity of conformal iterated function systems
  • 9- 8. Parabolic iterated function systems
  • 10- 9. Parabolic systems: Hausdorff and packing measures.

"Graph directed Markov systems" Description:

Harvard Library:

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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