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Dimensions, Embeddings, and Attractors
Engelsk
Bogcover for Dimensions, Embeddings, and Attractors af James C. Robinson, 9780521898058
Specifikationer
Sprog:
Engelsk
Sider:
218
ISBN-13:
9780521898058
Indbinding:
Hardback
ISBN-10:
0521898056
Udg. Dato:
16 dec 2010
Størrelse i cm:
23,6 x 16,2 x 1,8
Oplagsdato:
16 dec 2010
Forfatter(e):

Dimensions, Embeddings, and Attractors

Engelsk
Hardback 2010
Format:

Bog beskrivelse
This accessible research monograph investigates how ''finite-dimensional'' sets can be embedded into finite-dimensional Euclidean spaces. The first part brings together a number of abstract embedding results, and provides a unified treatment of four definitions of dimension that arise in disparate fields: Lebesgue covering dimension (from classical ''dimension theory''), Hausdorff dimension (from geometric measure theory), upper box-counting dimension (from dynamical systems), and Assouad dimension (from the theory of metric spaces). These abstract embedding results are applied in the second part of the book to the finite-dimensional global attractors that arise in certain infinite-dimensional dynamical systems, deducing practical consequences from the existence of such attractors: a version of the Takens time-delay embedding theorem valid in spatially extended systems, and a result on parametrisation by point values. This book will appeal to all researchers with an interest in dimension theory, particularly those working in dynamical systems.
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Specifikationer
Sprog:
Engelsk
Sider:
218
ISBN-13:
9780521898058
Indbinding:
Hardback
ISBN-10:
0521898056
Udg. Dato:
16 dec 2010
Størrelse i cm:
23,6 x 16,2 x 1,8
Oplagsdato:
16 dec 2010
Forfatter(e):
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