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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… Expand

2017

2017

The connections between quasi-Assouad dimension and tangents are studied. We apply these results to the calculation of the quasi… Expand

2016

2016

In a previous paper we introduced a new `dimension spectrum', motivated by the Assouad dimension, designed to give precise… Expand

2015

2015

The first named author is supported by a Leverhulme Trust Research Fellowship and the second named author is supported by the… Expand

2015

2015

We consider dimensional properties of limit sets of Moran constructions satisfy- ing the finite clustering property. Just to name… Expand

2014

2014

It is known that, unlike the Hausdorff dimension, the Assouad dimension of a self-similar set can exceed the similarity dimension… Expand

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

2006

2006

We show that the type function of a space with finite asymptotic dimension estimates its Hilbert (or any $l^p$) compression. The… Expand

2006

2006

In the first part of the paper we show how to relate several dimension theories (asymptotic dimension with Higson property… Expand

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