Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimension and measure of baker-like skew-products of
  $\beta$-transformations   We consider a generalisation of the baker's transformation, consisting of a
skew-product of contractions and a $\beta$-transformation. The Hausdorff
dimension and Lebesgue measure of the attractor is calculated for a set of
parameters with positive measure. The proofs use a new transverality lemma
similar to Solomyak's [Solomyak, 1995]. This transversality, which is
applicable to the considered class of maps holds for a larger set of parameters
than Solomyak's transversality.

10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ