The Resource Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbaʹnski, (Texte imprimé)
Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbaʹnski, (Texte imprimé)
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The item Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbaʹnski, (Texte imprimé) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbaʹnski, (Texte imprimé) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 Summary
 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
 Language
 eng
 Extent
 1 online resource (xi, 281 pages)
 Note
 Title from publisher's bibliographic system (viewed on 05 Oct 2015)
 Contents

 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
 Isbn
 9780521825382
 Label
 Graph directed Markov systems : geometry and dynamics of limit sets
 Title
 Graph directed Markov systems
 Title remainder
 geometry and dynamics of limit sets
 Statement of responsibility
 R. Daniel Mauldin and Mariusz Urbaʹnski
 Language
 eng
 Summary
 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
 Cataloging source
 UkCbUP
 http://library.link/vocab/creatorDate
 1943
 http://library.link/vocab/creatorName
 Mauldin, R. Daniel
 Dewey number
 519.233
 Index
 index present
 LC call number
 QA274.7
 LC item number
 .M39 2003
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorName
 Urbański, Mariusz
 Series statement
 Cambridge tracts in mathematics
 Series volume
 148
 http://library.link/vocab/subjectName

 Markov processes
 Graph theory
 Geometric function theory
 Limit theorems (Probability theory)
 Label
 Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbaʹnski, (Texte imprimé)
 Note
 Title from publisher's bibliographic system (viewed on 05 Oct 2015)
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Control code
 CR9780511543050
 Extent
 1 online resource (xi, 281 pages)
 Form of item
 online
 Isbn
 9780521825382
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 digital, PDF file(s).
 Specific material designation
 remote
 Label
 Graph directed Markov systems : geometry and dynamics of limit sets, R. Daniel Mauldin and Mariusz Urbaʹnski, (Texte imprimé)
 Note
 Title from publisher's bibliographic system (viewed on 05 Oct 2015)
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 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
 Control code
 CR9780511543050
 Extent
 1 online resource (xi, 281 pages)
 Form of item
 online
 Isbn
 9780521825382
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 digital, PDF file(s).
 Specific material designation
 remote
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