Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamical generalizations of the Lagrange spectrum   We compute two invariants of topological conjugacy, the upper and lower
limits of the inverse of Boshernitzan's ne_n, where e_n is the smallest measure
of a cylinder of length n, for three families of symbolic systems, the natural
codings of rotations and three-interval exchanges and the Arnoux-Rauzy systems.
The sets of values of these invariants for a given family of systems generalize
the Lagrange spectrum, which is what we get for the family of rotations with
the upper limit of 1/ne_n.

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The categories of this paper are: nucl-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-th
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin