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Dimensions, Embeddings, and Attractions

James C. Robinson
Publisher: 
Cambridge University Press
Publication Date: 
2011
Number of Pages: 
205
Format: 
Hardcover
Series: 
Cambridge Tracts in Mathematics 186
Price: 
65.00
ISBN: 
9780521898058
Category: 
Monograph
We do not plan to review this book.

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

Dummy View - NOT TO BE DELETED