Graph Directed Markov Systems

R. Daniel Mauldin

ISBN 10: 0521825385 / ISBN 13: 9780521825382

Published by Cambridge University Press, 2003

About this Item

Druck auf Anfrage Neuware - Printed after ordering - 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.

Seller Inventory # 9780521825382

Bibliographic Details

• Title: Graph Directed Markov Systems
• Publisher: Cambridge University Press
• Publication Date: 2003
• Language: English
• ISBN 10: 0521825385
• ISBN 13: 9780521825382
• Binding: Buch
• Condition: Neu

About this title

Synopsis

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.

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.