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Jonathan M.Fraser

Assouad Dimension and Fractal Geometry

Assouad Dimension and Fractal Geometry

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  • More about Assouad Dimension and Fractal Geometry


The Assouad dimension is a notion of dimension in fractal geometry that has been the subject of much interest in recent years. This book provides a comprehensive account of the Assouad dimension and its variants and applications, placing it in context with other advances in fractal geometry and highlighting its connections with other areas of mathematics. It will be an indispensable resource for fractal geometers and pure mathematicians interested in the beauty and applications of the Assouad dimension.

Format: Hardback
Length: 284 pages
Publication date: 29 October 2020
Publisher: Cambridge University Press


The Assouad dimension, a concept in fractal geometry, has garnered significant attention in recent years. Authored by a renowned expert in the field, this comprehensive book offers the first in-depth exploration of the Assouad dimension and its diverse variations and applications in fractal geometry and beyond. It contextualizes the Assouad dimension theory within modern treatments of key advancements in fractal geometry, while also highlighting its profound connections with areas such as number theory, dynamical systems, harmonic analysis, and probability theory. A concluding chapter outlining open problems and future research directions propels readers to the forefront of this dynamic field. This book serves as an essential addition to the libraries of contemporary fractal geometers and provides valuable insights for pure mathematicians intrigued by the beauty and wide-ranging applications of the Assouad dimension.

Weight: 534g
Dimension: 157 x 234 x 23 (mm)
ISBN-13: 9781108478656

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