You are currently offline. Some features of the site may not work correctly.

In mathematics — specifically, in fractal geometry — the Assouad dimension is a definition of fractal dimension for subsets of a metric space. It was… Expand
Wikipedia

## Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2018
2018
• 2018
• Corpus ID: 119316788
In analogy with the lower Assouad dimensions of a set, we study the lower Assouad dimensions of a measure. As with the upper… Expand
Is this relevant?
2018
2018
• 2018
• Corpus ID: 55507570
JMF was financially supported by the EPSRC grant EP/J013560/1 whilst employed at the University of Warwick. JJM was partially… Expand
Is this relevant?
2017
2017
• 2017
• Corpus ID: 119572968
It is shown that for controlled Moran constructions in \$\mathbb{R}\$, including the (sub) self-similar and more generally, (sub… Expand
Is this relevant?
2015
2015
• 2015
• Corpus ID: 56122377
We consider dimensional properties of limit sets of Moran constructions satisfy- ing the finite clustering property. Just to name… Expand
Is this relevant?
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… Expand
Is this relevant?
2008
2008
We show that the type function of a space with finite asymptotic dimension estimates its Hilbert (or any \$l^p\$) compression. The… Expand
Is this relevant?
2006
2006
• 2006
• Corpus ID: 16066152
In the first part of the paper we show how to relate several dimension theories (asymptotic dimension with Higson property… Expand
Is this relevant?
2005
2005
Let α ≥ 1 and let (X, d, μ) be an α-homogeneous metric measure space with conformal Assouad dimension equal to α. Then there… Expand
Is this relevant?
2001
2001
We study the relationship between the Assouad dimension and quasisymmetric mappings, showing that spaces of dimension strictly… Expand
Is this relevant?
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… Expand
Is this relevant?