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Wir sind gerne für Sie daThe main objective of this book is to give a broad uni?ed introduction to the study of dimension and recurrence inhyperbolic dynamics. It includes a disc- sion of the foundations, main results, and main techniques in the rich interplay of fourmain areas of research: hyperbolic dynamics, dimension theory, multifractal analysis, and quantitative recurrence. It also gives a panorama of several selected topics of current research interest. This includes topics on irregular sets, var- tional principles, applications to number theory, measures of maximal dimension, multifractal rigidity, and quantitative recurrence. The book isdirected to researchersas well as graduate students whowish to have a global view of the theory together with a working knowledgeof its main techniques. It can also be used as a basis for graduatecourses in dimension theory of dynamical systems, multifractal analysis (together with a discussion of several special topics), and pointwise dimension and recurrence in hyperbolic dynamics. I hope that the book may serve as a fast entry point to this exciting and active ?eld of research, and also that it may lead to further developments.
Produkteigenschaften
- Artikelnummer: 9783764388812
- Medium: Buch
- ISBN: 978-3-7643-8881-2
- Verlag: Springer
- Erscheinungstermin: 17.07.2008
- Sprache(n): Englisch
- Auflage: 2008
- Serie: Progress in Mathematics
- Produktform: Gebunden
- Gewicht: 647 g
- Seiten: 300
- Format (B x H x T): 160 x 241 x 22 mm
- Ausgabetyp: Kein, Unbekannt