Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exceptional digit frequencies and expansions in non-integer bases   In this paper we study the set of digit frequencies that are realised by
elements of the set of $\beta$-expansions. The main result of this paper
demonstrates that as $\beta$ approaches $1,$ the set of digit frequencies that
occur amongst the set of $\beta$-expansions fills out the simplex. As an
application of our main result, we obtain upper bounds for the local dimension
of certain biased Bernoulli convolutions.

3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con