Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Counting Beta Expansions and the Absolute Continuity of Bernoulli
  Convolutions   We study the typical growth rate of the number of words of length n which can
be extended to beta-expansions of x. In the general case we give a lower bound
for the growth rate, while in the case that the Bernoulli convolution
associated to parameter beta is absolutely continuous we are able to give the
growth rate precisely. This gives new necessary and sufficient conditions for
the absolute continuity of Bernoulli convolutions.

11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an