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 Verfasser: | , |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
|
| Schriftenreihe: | London Mathematical Society lecture note series
348 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xix, 451 pages) |
| ISBN: | 9780511735233 |
| DOI: | 10.1017/CBO9780511735233 |
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| discipline | Mathematik |
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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 resource (xix, 451 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 348 Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Functions of complex variables Differentiable dynamical systems Mathematical analysis Iteration (DE-588)4123457-1 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Meromorphe Funktion (DE-588)4136862-9 gnd rswk-swf Komplexe Funktion (DE-588)4217733-9 gnd rswk-swf Transzendente Funktion (DE-588)4312817-8 gnd rswk-swf 1\p (DE-588)4016928-5 Festschrift gnd-content 2\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Meromorphe Funktion (DE-588)4136862-9 s Transzendente Funktion (DE-588)4312817-8 s Iteration (DE-588)4123457-1 s 3\p DE-604 Differenzierbares dynamisches System (DE-588)4137931-7 s Komplexe Funktion (DE-588)4217733-9 s 4\p DE-604 Rippon, P. J. edt Stallard, Gwyneth M. edt Erscheint auch als Druckausgabe 978-0-521-68372-2 https://doi.org/10.1017/CBO9780511735233 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Transcendental dynamics and complex analysis Functions of complex variables Differentiable dynamical systems Mathematical analysis Iteration (DE-588)4123457-1 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Meromorphe Funktion (DE-588)4136862-9 gnd Komplexe Funktion (DE-588)4217733-9 gnd Transzendente Funktion (DE-588)4312817-8 gnd |
| subject_GND | (DE-588)4123457-1 (DE-588)4137931-7 (DE-588)4136862-9 (DE-588)4217733-9 (DE-588)4312817-8 (DE-588)4016928-5 (DE-588)4143413-4 |
| 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 |
| topic | Functions of complex variables Differentiable dynamical systems Mathematical analysis Iteration (DE-588)4123457-1 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd Meromorphe Funktion (DE-588)4136862-9 gnd Komplexe Funktion (DE-588)4217733-9 gnd Transzendente Funktion (DE-588)4312817-8 gnd |
| topic_facet | Functions of complex variables Differentiable dynamical systems Mathematical analysis Iteration Differenzierbares dynamisches System Meromorphe Funktion Komplexe Funktion Transzendente Funktion Festschrift Aufsatzsammlung |
| url | https://doi.org/10.1017/CBO9780511735233 |
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