Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inconstancy of finite and infinite sequences   In order to study large variations or fluctuations of finite or infinite
sequences (time series), we bring to light an 1868 paper of Crofton and the
(Cauchy-)Crofton theorem. After surveying occurrences of this result in the
literature, we introduce the inconstancy of a sequence and we show why it seems
more pertinent than other criteria for measuring its variational complexity. We
also compute the inconstancy of classical binary sequences including some
automatic sequences and Sturmian sequences.

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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th