Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bracket words: a generalisation of Sturmian words arising from
  generalised polynomials   Generalised polynomials are maps constructed by applying the floor function,
addition, and multiplication to polynomials. Despite superficial similarity,
generalised polynomials exhibit many phenomena which are impossible for
polynomials. In particular, there exist generalised polynomial sequences which
take only finitely many values without being periodic; examples of such
sequences include the Sturmian words, as well as more complicated sequences
like $[ 2\{ \pi n^2 + \sqrt{2}n[\sqrt{3}n] \}]$. The purpose of this paper is
to investigate letter-to-letter codings of finitely-valued generalised
polynomial sequences, which we call \emph{bracket words}, from the point of
view of combinatorics on words. We survey existing results on generalised
polynomials and their corollaries in terms of bracket words, and also prove
several new results. Our main contribution is a polynomial bound on the subword
complexity of bracket words.

31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
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
4
The categories of this paper are: cond-mat