Transcendental dynamics and complex analysis:
After the pioneering work on complex dynamics by Fatou and Julia in the early 20th century, Noel Baker went on to lay the foundations of transcendental complex dynamics. As one of the leading exponents of transcendental dynamics, he showed how developments in complex analysis such as Nevanlinna theo...
Gespeichert in:
| Weitere beteiligte Personen: | , |
|---|---|
| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Schriftenreihe: | London Mathematical Society lecture note series
348 |
| Links: | https://doi.org/10.1017/CBO9780511735233 |
| Zusammenfassung: | After the pioneering work on complex dynamics by Fatou and Julia in the early 20th century, Noel Baker went on to lay the foundations of transcendental complex dynamics. As one of the leading exponents of transcendental dynamics, he showed how developments in complex analysis such as Nevanlinna theory could be applied. His work has inspired many others to take up this increasingly active subject, and will continue to do so. Presenting papers by researchers in transcendental dynamics and complex analysis, this book is written in honour of Noel Baker. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading for students and researchers in complex dynamics and complex analysis. |
| Umfang: | 1 Online-Ressource (xix, 451 Seiten) |
| ISBN: | 9780511735233 |
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| spelling | Transcendental dynamics and complex analysis edited by Philip J. Rippon, Gwyneth M. Stallard Transcendental Dynamics & Complex Analysis Cambridge Cambridge University Press 2008 1 Online-Ressource (xix, 451 Seiten) txt c cr London Mathematical Society lecture note series 348 After the pioneering work on complex dynamics by Fatou and Julia in the early 20th century, Noel Baker went on to lay the foundations of transcendental complex dynamics. As one of the leading exponents of transcendental dynamics, he showed how developments in complex analysis such as Nevanlinna theory could be applied. His work has inspired many others to take up this increasingly active subject, and will continue to do so. Presenting papers by researchers in transcendental dynamics and complex analysis, this book is written in honour of Noel Baker. The papers describe the state of the art in this subject, with new results on completely invariant domains, wandering domains, the exponential parameter space, and normal families. The inclusion of comprehensive survey articles on dimensions of Julia sets, buried components of Julia sets, Baker domains, Fatou components of functions of small growth, and ergodic theory of transcendental meromorphic functions means this is essential reading for students and researchers in complex dynamics and complex analysis. Rippon, P. J. Stallard, Gwyneth M. Erscheint auch als Druck-Ausgabe 9780521683722 |
| spellingShingle | Transcendental dynamics and complex analysis |
| title | Transcendental dynamics and complex analysis |
| title_alt | Transcendental Dynamics & Complex Analysis |
| title_auth | Transcendental dynamics and complex analysis |
| title_exact_search | Transcendental dynamics and complex analysis |
| title_full | Transcendental dynamics and complex analysis edited by Philip J. Rippon, Gwyneth M. Stallard |
| title_fullStr | Transcendental dynamics and complex analysis edited by Philip J. Rippon, Gwyneth M. Stallard |
| title_full_unstemmed | Transcendental dynamics and complex analysis edited by Philip J. Rippon, Gwyneth M. Stallard |
| title_short | Transcendental dynamics and complex analysis |
| title_sort | transcendental dynamics and complex analysis |
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