Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Decoding Rauzy Induction: An Effective Answer to Bufetov's Question   A typical interval exchange transformation has an infinite sequence of
matrices associated to it by successive iterations of Rauzy induction. In 2010,
W. A. Veech answered a question of A. Bufetov by showing that the interval
exchange itself may be recovered from these matrices and must be unique up to
topological conjugation. In this work, we will improve upon these results by
providing an algorithm to determine the initial transformation from a
sufficiently long finite subsequence of these matrices. We also show the
defined length to be necessary by constructing finite sequences of Rauzy
induction with multiple distinct (even up to conjugacy) initial
transformations.

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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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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: funct-an
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The categories of this paper are: supr-con
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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: physics