Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On pattern entropy of weak model sets   We study point sets arising from cut-and-project constructions. An important
class is weak model sets, which include squarefree numbers and visible lattice
points. For such model sets, we give a non-trivial upper bound on their pattern
entropy in terms of the volume of the window boundary in internal space. This
proves a conjecture by R.V. Moody.

23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin