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Graph directed Markov systems :[Texte imprimé] /geometry and dynamics of limit sets

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.233
書名/作者:	Graph directed Markov systems : : geometry and dynamics of limit sets/ R. Daniel Mauldin and Mariusz Urbaʹnski.
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:	Markov processes.
標題:	Graph theory.
標題:	Geometric function theory.
標題:	Limit theorems (Probability theory)
ISBN:	9780511543050 (ebook)
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1017/CBO9780511543050

Graph directed Markov systems :[Texte imprimé] /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 ;169..

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:

369778
Markov processes.

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

Dewey Class. No.: 519.233

Graph directed Markov systems :[Texte imprimé] /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 Markov processes. $3 369778
650 0 $a Graph theory. $3 381176
650 0 $a Geometric function theory. $3 553471
650 0 $a Limit theorems (Probability theory) $3 627595
700 1 $a Urbański, Mariusz, $e author. $3 643569
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