James C. Robinson

Dimensions, Embeddings, and Attractors

• Gebundenes Buch

Produktbeschreibung

Accessible monograph exploring what it means for a set to be 'finite-dimensional' and applying the abstract theory to attractors.

---

Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 218
• Erscheinungstermin: 16. Dezember 2010
• Englisch
• Abmessung: 235mm x 157mm x 18mm
• Gewicht: 511g
• ISBN-13: 9780521898058
• ISBN-10: 0521898056
• Artikelnr.: 31760340

Autorenporträt

James C. Robinson is Professor of Mathematics at Warwick University.

Inhaltsangabe

Preface
Introduction
Part I. Finite-Dimensional Sets: 1. Lebesgue covering dimension
2. Hausdorff measure and Hausdorff dimension
3. Box-counting dimension
4. An embedding theorem for subsets of RN
5. Prevalence, probe spaces, and a crucial inequality
6. Embedding sets with dH(X-X) finite
7. Thickness exponents
8. Embedding sets of finite box-counting dimension
9. Assouad dimension
Part II. Finite-Dimensional Attractors: 10. Partial differential equations and nonlinear semigroups
11. Attracting sets in infinite-dimensional systems
12. Bounding the box-counting dimension of attractors
13. Thickness exponents of attractors
14. The Takens time-delay embedding theorem
15. Parametrisation of attractors via point values
Solutions to exercises
References
Index.