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Dimensions, Embeddings, and Attractions

Publisher: 
Cambridge University Press
Number of Pages: 
205
Price: 
65.00
ISBN: 
9780521898058
Date Received: 
Tuesday, February 15, 2011
Reviewable: 
No
Include In BLL Rating: 
No
Reviewer Email Address: 
James C. Robinson
Series: 
Cambridge Tracts in Mathematics 186
Publication Date: 
2011
Format: 
Hardcover
Category: 
Monograph

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

Publish Book: 
Modify Date: 
Tuesday, February 15, 2011

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