Graph directed Markov systems: geometry and dynamics of limit sets
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 confo...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | Cambridge tracts in mathematics
148 |
| Links: | https://doi.org/10.1017/CBO9780511543050 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xi, 281 Seiten) |
| ISBN: | 9780511543050 |
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| 100 | 1 | |a Mauldin, R. Daniel |d 1943- | |
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| spelling | Mauldin, R. Daniel 1943- Graph directed Markov systems geometry and dynamics of limit sets R. Daniel Mauldin and Mariusz Urbaʹnski Cambridge Cambridge University Press 2003 1 Online-Ressource (xi, 281 Seiten) txt c cr Cambridge tracts in mathematics 148 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. Urbański, Mariusz Erscheint auch als Druck-Ausgabe 9780521825382 |
| spellingShingle | Mauldin, R. Daniel 1943- Graph directed Markov systems geometry and dynamics of limit sets |
| title | Graph directed Markov systems geometry and dynamics of limit sets |
| title_auth | Graph directed Markov systems geometry and dynamics of limit sets |
| title_exact_search | Graph directed Markov systems geometry and dynamics of limit sets |
| title_full | Graph directed Markov systems geometry and dynamics of limit sets R. Daniel Mauldin and Mariusz Urbaʹnski |
| title_fullStr | Graph directed Markov systems geometry and dynamics of limit sets R. Daniel Mauldin and Mariusz Urbaʹnski |
| title_full_unstemmed | Graph directed Markov systems geometry and dynamics of limit sets R. Daniel Mauldin and Mariusz Urbaʹnski |
| title_short | Graph directed Markov systems |
| title_sort | graph directed markov systems geometry and dynamics of limit sets |
| title_sub | geometry and dynamics of limit sets |
| work_keys_str_mv | AT mauldinrdaniel graphdirectedmarkovsystemsgeometryanddynamicsoflimitsets AT urbanskimariusz graphdirectedmarkovsystemsgeometryanddynamicsoflimitsets |