In mathematics — specifically, in fractal geometry — the Assouad dimension is a definition of fractal dimension for subsets of a metric space. |
| Assouad dimension |  |
В математике — в частности, во фрактальной геометрии — размерность Ассуада — это определение фрактальной размерности подмножеств метрического пространства. Википедия (Английский язык)
7 мая 2020 г. · This is a book to be published in 2020 by Cambridge University Press (Tracts in Mathematics Series). It focuses on the Assouad dimension of sets and measures ... |
Assouad Dimension and Fractal Geometry by Jonathan Fraser. This pre-publication version is free to view and download for personal use only. |
Contents · 1 - Fractal Geometry and Dimension Theory. pp 3-9 · 2 - The Assouad Dimension. pp 10-21 · 3 - Some Variations on the Assouad Dimension. pp 22-55 · 4 ... |
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 ... |
In this chapter we introduce the Assouad dimension. We discuss its origins and establish many of its basic properties such as stability under Lipschitz ... |
We discuss Assouad dimension and these results in connection with porous sets and measures with the doubling property. The elementary properties of Assouad ... |
22 янв. 2024 г. · This paper studies the structure of Kakeya sets in \mathbb{R}^3. We show that for every Kakeya set K\subset\mathbb{R}^3, there exist well-separated scales. |
22 окт. 2024 г. · In this paper we study the Assouad dimension of graphs of certain L\'evy processes and functions defined by stochastic integrals. |
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