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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Graph directed Markov systems :/ R. Daniel Mauldin and Mariusz Urbaʹnski.
其他題名:	geometry and dynamics of limit sets
作者:	Mauldin, R. Daniel,
其他作者:	Urbański, Mariusz,
面頁冊數:	1 online resource (xi, 281 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Limit theorems (Probability theory) -
電子資源:	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:

527828
Limit theorems (Probability theory)

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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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 Limit theorems (Probability theory) $3 527828
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650 0 $a Graph theory. $3 527884
650 0 $a Markov processes. $3 527825
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