Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Expansive actions with specification of sofic groups, strong topological
  Markov property, and surjunctivity   A dynamical system is a pair $(X,G)$, where $X$ is a compact metrizable space
and $G$ is a countable group acting by homeomorphisms of $X$. An endomorphism
of $(X,G)$ is a continuous selfmap of $X$ which commutes with the action of
$G$. One says that a dynamical system $(X,G)$ is surjunctive provided that
every injective endomorphism of $(X,G)$ is surjective (and therefore is a
homeomorphism). We show that when $G$ is sofic, every expansive dynamical
system $(X,G)$ with nonnegative sofic topological entropy and satisfying the
weak specification and the strong topological Markov properties, is
surjunctive.

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The categories of this paper are: astro-ph
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin