Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Morphic words, Beatty sequences and integer images of the Fibonacci
  language   Morphic words are letter-to-letter images of fixed points $x$ of morphisms on
finite alphabets. There are situations where these letter-to-letter maps do not
occur naturally, but have to be replaced by a morphism. We call this a
decoration of $x$. Theoretically, decorations of morphic words are again
morphic words, but in several problems the idea of decorating the fixed point
of a morphism is useful. We present two of such problems. The first considers
the so called $AA$ sequences, where $\alpha$ is a quadratic irrational, $A$ is
the Beatty sequence defined by $A(n)=\lfloor \alpha n\rfloor$, and $AA$ is the
sequence $(A(A(n)))$. The second example considers homomorphic embeddings of
the Fibonacci language into the integers, which turns out to lead to
generalized Beatty sequences with terms of the form $V(n)=p\lfloor \alpha
n\rfloor+qn+r$, where $p,q$ and $r$ are integers.

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The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th