Topics from One-Dimensional Dynamics

Informationen zum Autor 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. Klappentext One-dimensional dynamics owns many deep results and avenues of active mathematical research. This book provides glimpses into the subject, and novel connections are drawn with other research areas, 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. Zusammenfassung One-dimensional dynamics owns many deep results and avenues of active mathematical research. This book provides glimpses into the subject! and novel connections are drawn with other research areas! 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. Inhaltsverzeichnis 1. Topological roots; 2. Measure theoretic roots; 3. Symbolic and topological dynamics; 4. Beginning measurable dynamics; 5. 2 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.

Klappentext
One-dimensional dynamics owns many deep results and avenues of active mathematical research. This book provides glimpses into the subject, and novel connections are drawn with other research areas, 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.

Inhalt
1. Topological roots; 2. Measure theoretic roots; 3. Symbolic and topological dynamics; 4. Beginning measurable dynamics; 5. 2 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.

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