Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Odometer Based Systems   Construction sequences are a general method of building symbolic shifts that
capture cut-and-stack constructions and are general enough to give symbolic
representations of Anosov-Katok diffeomorphisms. We show here that any finite
entropy system that has an odometer factor can be represented as a special
class of construction sequences, the odometer based construction sequences
which correspond to those cut-and-stack constructions that do not use spacers.
We also show that any additional property called the "small word condition" can
also be satisfied in a uniform way.

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The categories of this paper are: q-alg
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics