Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Subshifts with leading sequences, uniformity of cocycles and spectra of
  Schreier graphs   We introduce a class of subshifts governed by finitely many two-sided
infinite words. We call these words leading sequences. We show that any locally
constant cocycle over such a subshift is uniform. From this we obtain Cantor
spectrum of Lebesgue measure zero for associated Jacobi operators if the
subshift is aperiodic. Our class covers all simple Toeplitz subshifts as well
as all Sturmian subshifts. We apply our results to the spectral theory of
Schreier graphs for uncountable families of groups acting on rooted trees.

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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: eess
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: adap-org
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: bayes-an