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Graph directed Markov systems : = geometry and dynamics of limit sets

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Graph directed Markov systems :/ R. Daniel Mauldin and Mariusz Urbaʹnski.
Reminder of title:	geometry and dynamics of limit sets
Author:	Mauldin, R. Daniel,
other author:	Urbański, Mariusz,
Description:	1 online resource (xi, 281 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Markov processes. -
Online resource:	https://doi.org/10.1017/CBO9780511543050
ISBN:	9780511543050 (ebook)

Graph directed Markov systems : = geometry and dynamics of limit sets
Mauldin, R. Daniel,1943-

Graph directed Markov systems :geometry and dynamics of limit sets[Texte imprimé] /R. Daniel Mauldin and Mariusz Urbaʹnski. - 1 online resource (xi, 281 pages) :digital, PDF file(s). - Cambridge tracts in mathematics ;148. - Cambridge tracts in mathematics ;203..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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

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.

ISBN: 9780511543050 (ebook)Subjects--Topical Terms:

527825
Markov processes.

LC Class. No.: QA274.7 / .M39 2003

Dewey Class. No.: 519.233

Graph directed Markov systems : = geometry and dynamics of limit sets
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245 1 0 $a Graph directed Markov systems : $b geometry and dynamics of limit sets $h [Texte imprimé] / $c R. Daniel Mauldin and Mariusz Urbaʹnski.
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 $a Introduction -- 1. Preliminaries -- 2. Symbolic dynamics -- 3. Hl̲der families of functions -- 4. Conformal graph directed Markov systems -- 5. Examples of graph directed Markov systems -- 6. Conformal iterated function systems -- 7. Dynamical rigidity of conformal iterated function systems -- 8. Parabolic iterated function systems -- 9. Parabolic systems: Hausdorff and packing measures.
520 $a 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.
650 0 $a Markov processes. $3 527825
650 0 $a Graph theory. $3 527884
650 0 $a Geometric function theory. $3 788114
650 0 $a Limit theorems (Probability theory) $3 527828
700 1 $a Urbański, Mariusz, $e author. $3 1441889
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830 0 $a Cambridge tracts in mathematics ; $v 203. $3 1238301
856 4 0 $u https://doi.org/10.1017/CBO9780511543050