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An algorithm to identify automorphisms which arise from self-induced interval exchange transformations. (English) Zbl 1291.37013
Author’s abstract: we give an algorithm to determine if the dynamical system generated by a positive automorphism of the free group can also be generated by a self-induced interval exchange transformation. The algorithm effectively yields the interval exchange transformation in case of success.

37B10 Symbolic dynamics
20E08 Groups acting on trees
37E05 Dynamical systems involving maps of the interval
Full Text: DOI arXiv
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