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2018

2018

In analogy with the lower Assouad dimensions of a set, we study the lower Assouad dimensions of a measure. As with the upper… Expand

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2018

2018

JMF was financially supported by the EPSRC grant EP/J013560/1 whilst employed at the University of Warwick. JJM was partially… Expand

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2017

2017

It is shown that for controlled Moran constructions in $\mathbb{R}$, including the (sub) self-similar and more generally, (sub… Expand

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2015

2015

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

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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

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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

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2006

2006

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

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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

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2001

2001

We study the relationship between the Assouad dimension and quasisymmetric mappings, showing that spaces of dimension strictly… Expand

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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

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