Skip to search formSkip to main contentSkip to account menu

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… 
Wikipedia (opens in a new tab)

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2019
2019
Abstract In analogy with the lower Assouad dimensions of a set, we study the lower Assouad dimensions of a measure. As with the… 
2019
2019
We consider the Assouad spectrum, introduced by Fraser and Yu, along with a natural variant that we call the `upper Assouad… 
Highly Cited
2016
2016
2016
In a previous paper we introduced a new `dimension spectrum', motivated by the Assouad dimension, designed to give precise… 
2015
2015
We consider dimensional properties of limit sets of Moran constructions satisfy- ing the finite clustering property. Just to name… 
2015
2015
We consider the Assouad dimensions of orthogonal projections of planar sets onto lines. Our investigation covers both general and… 
Highly Cited
2013
Highly Cited
2013
We investigate several aspects of the Assouad dimension and the lower dimension, which together form a natural ‘dimension pair… 
2001
2001
We study the relationship between the Assouad dimension and quasisymmetric mappings, showing that spaces of dimension strictly… 
Highly Cited
1998
Highly Cited
1998
We prove that a non-empty separable metrizable space X admits a totally bounded metric for which the metric dimension of X in…