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Assouad dimension and fractal geometry / Jonathan M. Fraser (University of St Andrews)

By: Resource type: Ressourcentyp: BuchBookLanguage: English Series: Cambridge tracts in mathematics ; 222Publisher: Cambridge, UK ; New York, NY : Cambridge University Press, 2021Description: xvi, 269 Seiten : Illustrationen ; 24 cmISBN:
  • 9781108478656
Subject(s): Additional physical formats: 9781108778459. | Erscheint auch als: Assouad dimension and fractal geometry. Online-Ausgabe Cambridge : Cambridge University Press, 2021. 1 Online-Ressource (XVI, 269 Seiten)DDC classification:
  • 514/.742
LOC classification:
  • QA614.86
DOI: DOI: 10.1017/9781108778459Summary: "This book provides a thorough treatment of the Assouad dimension, as well as its many variants, in the context of fractal geometry. The book is split into three parts. In the first part, the basic theory is set up including how the various dimensions relate to each other and how they behave under Lipschitz and Holder mappings. In the second part, many examples are discussed including self-similar sets, self-affine sets, limit sets of Kleinian groups and Mandelbrot percolation. In the third part, several applications are discussed including to problems in number theory, embedding theory, probability theory and functional analysis. Several open problems are discussed at the end"--PPN: PPN: 1702982904
Item type Home library Shelving location Call number Status Date due Barcode Item holds
Freihandbestand ausleihbar Fachbibliothek Mathematik Bibliothek / frei aufgestellt Analys. / Fra Available 36606919090
Total holds: 0

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