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  3. Assouad Dimension and Fractal Geometry
  • Cited by 60
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    • Publisher:
      Cambridge University Press
      Publication date:
      October 2020
      October 2020
      ISBN:
      9781108778459
      9781108478656
      DOI:
      https://doi.org/10.1017/9781108778459
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.53kg, 284 Pages
      Dimensions:
      Weight & Pages:
      • Subjects:
      Mathematics (general), Mathematics, Real and Complex Analysis, Geometry and Topology
      Series:
      Cambridge Tracts in Mathematics (222)
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    Subjects:
    Mathematics (general), Mathematics, Real and Complex Analysis, Geometry and Topology
    Series:
    Cambridge Tracts in Mathematics (222)
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    Book description

    The Assouad dimension is a notion of dimension in fractal geometry that has been the subject of much interest in recent years. This book, written by a world expert on the topic, is the first thorough account of the Assouad dimension and its many variants and applications in fractal geometry and beyond. It places the theory of the Assouad dimension in context among up-to-date treatments of many key advances in fractal geometry, while also emphasising its diverse connections with areas of mathematics including number theory, dynamical systems, harmonic analysis, and probability theory. A final chapter detailing open problems and future directions for research brings readers to the cutting edge of this exciting field. This book will be an indispensable part of the modern fractal geometer's library and a valuable resource for pure mathematicians interested in the beauty and many applications of the Assouad dimension.

    Reviews

    ‘The book is very well written and illustrated. The reader gets to know an almost complete spectrum of resent results and historical developments concerning Assouad dimension.’

    Jörg Neunhäuserer Source: European Mathematical Society

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