Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Assouad type dimensions and homogeneity of fractals   We 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.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph