Fractals | Dimension theory | Metric geometry

Assouad dimension

In mathematics — specifically, in fractal geometry — the Assouad dimension is a definition of fractal dimension for subsets of a metric space. It was introduced by in his 1977 PhD thesis and later published in 1979, although the same notion had been studied in 1928 by Georges Bouligand. As well as being used to study fractals, the Assouad dimension has also been used to study quasiconformal mappings and embeddability problems. (Wikipedia).

Assouad dimension
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Related pages

Lebesgue covering dimension | Metric space | Hausdorff dimension | Mathematics | Metrizable space | Assouad–Nagata dimension | Embedding | Quasiconformal mapping | Fractal dimension