Decoding Rauzy induction: An effective answer to Bufetov's question
نویسندگان
چکیده
A typical interval exchange transformation has an infinite sequence of matrices associated to it by successive iterations Rauzy induction. In 2010, W. A. Veech answered a question Bufetov showing that the itself may be recovered from these and must unique up topological conjugation. this work, we will improve upon results providing algorithm determine initial sufficiently long finite subsequence matrices. We also show defined length necessary constructing sequences induction with multiple distinct (even conjugacy) transformations.
منابع مشابه
Decoding Rauzy Induction: Bufetov’s Question
Answering a question posed by Alexander Bufetov, it is proved that if a pair of (i.d.o.c.) interval exchanges on [0, 1) have identical sequences of visitation matrices with respect to Rauzy induction, then the exchanges are homeomorphically conjugate and, in particular, are governed by the same permutation. 2000 Math. Subj. Class. 37E05, 37B10.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2023
ISSN: ['1553-5231', '1078-0947']
DOI: https://doi.org/10.3934/dcds.2023084