Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ends of Schreier graphs and cut-points of limit spaces of self-similar
  groups   Every self-similar group acts on the space $X^\omega$ of infinite words over
some alphabet $X$. We study the Schreier graphs $\Gamma_w$ for $w\in X^\omega$
of the action of self-similar groups generated by bounded automata on the space
$X^\omega$. Using sofic subshifts we determine the number of ends for every
Schreier graph $\Gamma_w$. Almost all Schreier graphs $\Gamma_w$ with respect
to the uniform measure on $X^\omega$ have one or two ends, and we characterize
bounded automata whose Schreier graphs have two ends almost surely. The
connection with (local) cut-points of limit spaces of self-similar groups is
established.

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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
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The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: alg-geom