Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On images of sofic systems   Let $\Sigma$ and $\bar\Sigma$ be finite alphabets. For topologically
transitive sofic systems $ X\subset \Sigma^{\Bbb Z}$ and $\widetilde X\subset
\widetilde\Sigma^{\Bbb Z}$ we give a necessary and sufficient condition for the
existence of a homomorphism from $X$ to $\widetilde X$. For topologically
mixing sofic systems $X \subset \Sigma^{\Bbb Z}$ and $\widetilde X\subset
\widetilde\Sigma^{\Bbb Z}$, such that the topological entropy of $\widetilde X$
is less than the topological entropy of $X$, we give a necessary and sufficient
condition for the existence of a homomorphism of $X$ onto $\widetilde X$.

32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex