Topics from One-Dimensional Dynamics

Erscheinungsjahr 2004
ISBN: 978-0-521-54766-6
Verlag: Cambridge University Press

Buch, Englisch, Band 62, 312 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 509 g

Reihe: London Mathematical Society Student Texts

One-dimensional dynamics owns many deep results and avenues of active mathematical research. Numerous inroads to this research exist for the advanced undergraduate or beginning graduate student. This book provides glimpses into one-dimensional dynamics with the hope that the results presented illuminate the beauty and excitement of the field. Much of this material is covered nowhere else in textbook format, some are mini new research topics in themselves, and novel connections are drawn with other research areas both inside and outside the text. The material presented here is not meant to be approached in a linear fashion. Readers are encouraged to pick and choose favourite topics. Anyone with an interest in dynamics, novice or expert alike, will find much of interest within.

Autoren/Hrsg.

Brucks, Karen M.

Bruin, Henk

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik

Inhaltsverzeichnis

1. Topological roots; 2. Measure theoretic roots; 3. Symbolic and topological dynamics; 4. Beginning measurable dynamics; 5. 28 Map; 6. Kneading maps; 7. Some number theory; 8. Circle maps; 9. Topological entropy; 10. Symmetric tent maps; 11. Adding machines and maps; 12. Beta-transformations and maps; 13. Homeomorphic restrictions; 14. Complex quadratic dynamics.

Über Autor(innen)

Bruin, Henk
Henk Bruin is Lecturer in Mathematics at the University of Surrey. He has also held teaching positions in Germany, Sweden, the Netherlands and the USA, including the position of Taussky-Todd instructor at CalTech. His specialty is one-dimensional chaotic dynamical systems and he has published extensively on most aspects of this theory. His other research interests include counting topology, ergodic theory and complex dynamics.

Brucks, Karen M.
Karen M. Brucks is an associate professor at the University of Wisconsin Milwaukee. She has been the recipient of a Fulbright Research Scholar Fellowship and has served on the American Fellowship Panel of the American Association of University Women. Her research interests include topological, measure theoretic, and combinatoric dynamics.