Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the variety of shapes in digital trees   We study the joint distribution of the number of occurrences of members of a
collection of nonoverlapping motifs in digital data. We deal with finite and
countably infinite collections. For infinite collections, the setting requires
that we be very explicit about the specification of the underlying
measure-theoretic formulation. We show that (under appropriate normalization)
for such a collection, any linear combination of the number of occurrences of
each of the motifs in the data has a limiting normal distribution. In many
instances, this can be interpreted in terms of the number of occurrences of
individual motifs: They have a multivariate normal distribution. The methods of
proof include combinatorics on words, integral transforms, and poissonization.

21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
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
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas