Add to ORKGWe investigate several aspects of the Assouad dimension and the lower dimension, which together form a natural ‘dimension pair’. In particular, we compute these dimensions for certain classes of self-affine sets and quasi-self-similar sets and study their relationships with other notions of dimension, like the Hausdorff dimension for example. We also investigate some basic properties of these dimensions including their behaviour regarding unions and products and their set theoretic complexity
It is known that, unlike the Hausdorff dimension, the Assouad dimension of a self-similar set can ex...
Abstract. We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen. We ...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
Abstract. We investigate several aspects of the Assouad dimension and the lower dimension, which tog...
We investigate several aspects of the Assouad dimension and the lower dimension, which together form...
We investigate several aspects of the Assouad dimension and the lower dimension, which together form...
The author was supported by an EPSRC Doctoral Training GrantWe investigate several aspects of the As...
The author was supported by an EPSRC Doctoral Training GrantWe investigate several aspects of the As...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
In a previous paper we introduced a new `dimension spectrum', motivated by the Assouad dimension, de...
The Assouad dimension is a measure of the complexity of a fractal set similar to the box counting di...
In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number o...
We consider several dierent models for generating random fractals including random self-similar sets...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
It is known that, unlike the Hausdorff dimension, the Assouad dimension of a self-similar set can ex...
It is known that, unlike the Hausdorff dimension, the Assouad dimension of a self-similar set can ex...
Abstract. We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen. We ...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...
Abstract. We investigate several aspects of the Assouad dimension and the lower dimension, which tog...
We investigate several aspects of the Assouad dimension and the lower dimension, which together form...
We investigate several aspects of the Assouad dimension and the lower dimension, which together form...
The author was supported by an EPSRC Doctoral Training GrantWe investigate several aspects of the As...
The author was supported by an EPSRC Doctoral Training GrantWe investigate several aspects of the As...
Historically, the Assouad dimension has been important in the study of quasi-conformal map-pings and...
In a previous paper we introduced a new `dimension spectrum', motivated by the Assouad dimension, de...
The Assouad dimension is a measure of the complexity of a fractal set similar to the box counting di...
In this thesis we study the dimension theory of self-affine sets. We begin by introducing a number o...
We consider several dierent models for generating random fractals including random self-similar sets...
We study self-similar sets with overlaps, on the line and in the plane. It is shown that there exist...
It is known that, unlike the Hausdorff dimension, the Assouad dimension of a self-similar set can ex...
It is known that, unlike the Hausdorff dimension, the Assouad dimension of a self-similar set can ex...
Abstract. We calculate the Assouad dimension of the self-affine carpets of Bedford and McMullen. We ...
AbstractThis paper provides a new model to compute the fractal dimension of a subset on a generalize...